27
78 Good guess, but 7 + 8 = 15, not 9; so that answer is incorrect. The correct answer is 54. 5 + 4 = 9 45 is 9 less than 54. * * * * * If the sum of the digits of a 2-digit number is 9, and if the order of the digits is reversed the new number will be a multiple of 9 different from the original. It could be bigger or smaller, and the difference could be 18 or 27. For example, 7+2 = 9 and 72 -27 = 45 (which is not 9 but a multiple of 9)
81.
Answer 633 The sequence is formed by reversing the digits forming the product of the two previous numbers. 6 x 3 = 18 (reversed is 81) 9 x 7 = 63 (reversed is 36) 4 x 4 = 16 (reversed is 61) 8 x 42 = 336 (reversed is 633
5037 = 248 = 3059
one digit: 5 ways two digits: 5 * 9 ways three digits: 5 * 9 * 8 ways four digits: 5 * 9 * 8 * 7 ways ... ten digits: 5 * 9! ways So if you have to use ten digits, then the answer is 5 * 9! = 1814400. If you can use anywhere from one to ten digits, then the answer is: 5 * (9! + 8! + 7! + 6! + 5! + 4! + 3! + 2! + 1) = 2045565
45
81 8+1=9 9*9=81
if you add the digits of the number such as 81 8+1=9 every time, the digits of the number will add up to 9
78 Good guess, but 7 + 8 = 15, not 9; so that answer is incorrect. The correct answer is 54. 5 + 4 = 9 45 is 9 less than 54. * * * * * If the sum of the digits of a 2-digit number is 9, and if the order of the digits is reversed the new number will be a multiple of 9 different from the original. It could be bigger or smaller, and the difference could be 18 or 27. For example, 7+2 = 9 and 72 -27 = 45 (which is not 9 but a multiple of 9)
81.
Answer 633 The sequence is formed by reversing the digits forming the product of the two previous numbers. 6 x 3 = 18 (reversed is 81) 9 x 7 = 63 (reversed is 36) 4 x 4 = 16 (reversed is 61) 8 x 42 = 336 (reversed is 633
46. It's the square numbers with their digits reversed: 9 → 9 = 32 61 → 16 = 42 52 → 25 = 52 63 → 36 = 62 94 → 49 = 72 ??? 18 → 81 = 92 The missing number is the square of 8 with its digits reversed: 82 = 64 → 46.
18 1+8=9 9x2=18
9 times 9 times 9 times 9 times 9 times 9 times 9 times 9 times 9 = Imagine it's a combination lock with 9 tumblers. Each tumbler has 9 "positions" - the digits from 1 to 9. So you multiply the number of digits [9] against itself [9] for as many tumblers are in the combination (9). Tumbler # 1 2 3 4 5 6 7 8 9 Number of possible digits 9 9 9 9 9 9 9 9 9
5: The number ends in 0 or 5 25: The number ends in 00, 25, 50 or 75 125: The number ends in 000, 125, 250, 375, 500, 625, 750 or 875 625: The last 4 digits are a multiple of 625 The 1,000s digit is 0 or 5 and the last 3 digits are 000 or 625 The 1,000s digit is 1 or 6 and the last 3 digits are 250 or 875 The 1,000s digit is 2 or 7 and the last 3 digits are 500 The 1,000s digit is 3 or 8 and the last 3 digits are 125 or 750 The 1,000s digit is 4 or 9 and the last 3 digits are 375 3,125: The last 5 digits are a multiple of 3,125 The 10,000s digit is 0 or 5 and the last 4 digits are a multiple of 3,125 The 10,000s digit is 1 or 6 and the last 4 digits are 625 times a number that ends in 4 or 9 The 10,000s digit is 2 or 7 and the last 4 digits are 625 times a number that ends in 3 or 8 The 10,000s digit is 3 or 8 and the last 4 digits are 625 times a number that ends in 2 or 7 The 10,000s digit is 4 or 9 and the last 4 digits are 625 times a number that ends in 1 or 6 15,625: The last 6 digits are a multiple of 15,625 The 100,000s digit is 0 or 5 and the last 5 digits are a multiple of 15,625 The 100,000s digit is 1 or 6 and the last 5 digits are 3,125 times a number that ends in 3 or 8 The 100,000s digit is 2 or 7 and the last 5 digits are 3,125 times a number that ends in 1 or 6 The 100,000s digit is 3 or 8 and the last 5 digits are 3,125 times a number that ends in 4 or 9 The 100,000s digit is 4 or 9 and the last 5 digits are 3,125 times a number that ends in 2 or 7 78,125: The last 7 digits are a multiple of 78,125 The 1,000,000s digit is 0 or 5 and the last 6 digits are a multiple of 78,125 The 1,000,000s digit is 1 or 6 and the last 6 digits are 15,625 times a number that ends in 1 or 6 The 1,000,000s digit is 2 or 7 and the last 6 digits are 15,625 times a number that ends in 2 or 7 The 1,000,000s digit is 3 or 8 and the last 6 digits are 15,625 times a number that ends in 3 or 8 The 1,000,000s digit is 4 or 9 and the last 6 digits are 15,625 times a number that ends in 4 or 9 390,625: The last 8 digits are a multiple of 390,625 The 10,000,000s digit is 0 or 5 and the last 7 digits are a multiple of 390,625 The 10,000,000s digit is 1 or 6 and the last 7 digits are 78,125 times a number that ends in 2 or 7 The 10,000,000s digit is 2 or 7 and the last 7 digits are 78,125 times a number that ends in 4 or 9 The 10,000,000s digit is 3 or 8 and the last 7 digits are 78,125 times a number that ends in 1 or 6 The 10,000,000s digit is 4 or 9 and the last 7 digits are 78,125 rimes a number that ends in 3 or 8 1,953,125: The last 9 digits are a multiple of 1,953,125 The 100,000,000s digit is 0 or 5 and the last 8 digits are a multiple of 1,953,125 The 100,000,000s digit is 1 or 6 and the last 8 digits are 390,625 times a number that ends in 4 or 9 The 100,000,000s digit is 2 or 7 and the last 8 digits are 390,625 times a number that ends in 3 or 8 The 100,000,000s digit is 3 or 8 and the last 8 digits are 390,625 times a number that ends in 2 or 7 The 100,000,000s digit is 4 or 9 and the last 8 digits are 390,625 times a number that ends in 1 or 6 9,765,625: The last 10 digits are a multiple of 9,765,625 The 1,000,000,000s digit is 0 or 5 and the last 9 digits are a multiple of 9,765,625 The 1,000,000,000s digit is 1 or 6 and the last 9 digits are 1,953,125 times a number that ends in 3 or 8 The 1,000,000,000s digit is 2 or 7 and the last 9 digits are 1,953,125 times a number that ends in 1 or 6 The 1,000,000,000s digit is 3 or 8 and the last 9 digits are 1,953,125 times a number that ends in 4 or 9 The 1,000,000,000s digit is 4 or 9 and the last 9 digits are 1,953,125 times a number that ends in 2 or 7
Eight times when they are 73 and 71; nine times when they are 80 and 78.
The number is 45. The sum of its digits i.e. 4+5=9 Five times the sum of its digits i.e. 5 times 9 which is 45