0
What is the number of a two digit number that is four times the sum of its digits The tens digit is 3 less than the units digit what are you?
Let's break it down:
"What is the two digit number ..."
x is the 10's place; y is the 1's place; and z is the answer.
10x + y = z
"... that is [equal to] 4 times the sum of its digits ..."
4(x + y) = 10x + y
"... The tens digit is [equal to] 3 less than the units [1's] digit ..."
x = y - 3
Break down the complex equation:
4x + 4y = 10x + y
3y = 6x
Substitute the other equation for x, because x = y - 3, and continue:
3y = 6(y - 3)
3y = 6y - 18
-3y = -18
-y = -6
y = 6
So 6 is y, the 1's number.
x = y - 3
x = 6 - 3
x = 3
And 3 is x, your 10's number. Almost there! Now find your final answer, z:
10x + y = z
10(3) + 6 = z
30 + 6 = z
36 = z
Your answer is 36.
Still curious? Ask our experts.
Chat with our AI personalities
Lao
Taiga
FranAdd your answer:
Earn +20 pts
The units digit of a two digit number exceeds twice the tens digit by 1 what numbers if the sum of its digit is 10?
The units digit of a two digit number exceeds twice the tens digit by 1. Find the number if the sum of its digits is 10.
What is the units digit of the least whole number greater than 1000 whose digits are all different?
What is the units digit of the least whole number greater than 1000 whose digits are all different?
What is the rule for a number that is divisible by 4?
If the last two digits are divisible by 4 then the number is divisible by 4. Thus, if the tens digit is even and the units digit is 0 or 4 or 8 OR if the tens digit is odd and the units digit is 2 or 6 then the number is divisible by 4.
If The tens digit is twice the units digits and the units digit is the same as the tenths digit the hundredths digit is half the tenths digit?
84.42 or 42.21
What is the units digit of the product when one hundred 7's are multiplied?
When multiplying numbers with the same units digit, the units digit of the product is determined by the units digit of the base number raised to the power of the number of times it is being multiplied. In this case, since 7 is being multiplied 100 times, the units digit of the product will be the same as the units digit of 7^100. The units digit of 7^100 can be found by looking for a pattern in the units digits of powers of 7: 7^1 = 7, 7^2 = 49, 7^3 = 343, 7^4 = 2401, and so on. The pattern repeats every 4 powers, so the units digit of 7^100 will be the same as 7^4, which is 1. Therefore, the units digit of the product when one hundred 7's are multiplied is 1.
