Question 114415
A two-digit number is four times the sum of its digits. The tens digit is 3 less then the units digit. What is the number?
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Every two-digit number can be written as 10t+u where t is the tens digit
and u is the units digit.
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EQUATIONS:
10t+u = 4(t+u)
t = u-3
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Rearrange
6t-3u = 0
t = u-3
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Substitute to solve for "u":
6(u-3) - 3u = 0
3u-18 = 0
u = 6
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Substitue to solve for "t"
t = 6-3 = 3
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The number is 36
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Cheers,
Stan H.