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Find 3 consecutive odd numbers where the product of the smaller two numbers is 46 less than the square of the largest number.?
Let X be the first odd number, so X+2 will be the next odd number, and X+4 will be the final odd number. X * (X+2) = (X+4)2 - 46 X2+2X = X2+8X+16-46 X2+2X = X2+8X-30 Rearrange to get like terms to one side, 6X = 30 X =5 So the next two odd numbers would be 7 & 9 We can check the results: 5*7 =? 92 -46 35 =? 81-46 35 = 35 So the results are correct.
Consecutive odd means that there is a difference of 2 between each number and the next. If you call the smallest number x, the other two will be x+2, and x+4.
So, your equation will be: x(x+2) = (x+4)2 - 46.
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Find 3 consecutive numbers where the product of the smaller two numbers is 19 less than the square of the largest number.?
Find 3 consecutive numbers where the product of the smaller two numbers is 19 less than the square of the largest number.
Find 3 consecutive numbers where the product of the smaller two numbers is 37 less than the square of the largest number?
11,12,13
Find 3 consecutive odd numbers where the product of the smaller two numbers is 34 less than the square of the largest number?
3, 5, 7
Find 3 consecutive odd numbers where the product of the smaller two numbers is 52 less than the square of the largest number?
trial and error; 5x7=35 9x9=82, difference of 47. not big enough difference. 7x9=63 11x11=121. differenence of 58, which is too big. sorry, but this means there is not answer.
What are 3 consecutive even numbers where the product of the smaller two numbers is 52 less than the square of the largest number?
6, 8, and 10. To figure this one out, it is trial and error, so pick random numbers. 4x6=24 8x8=64, difference of 40, not big enough. 6x8=48 10x10=100 difference of 52. So, the right answer is 6, 8, and 10.
