the sum of the digits of a two digit number is one-fourth the number

the sum of the digits of a two digit number is one-fourth the number. If the units digit is greater than the tens digit and their difference is 3, find the number.
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1 Answer

Tens digit = x

Ones digit = y

x + y = (1/4)(10x+y)

y - x = 3

y = x + 3

x + x + 3 = (1/4)(10x + x + 3)

2x + 3 = (1/4)(11x + 3)

8x + 12 = 11x + 3

12 = 3x + 3

9 = 3x

x = 3

y = x + 3

y = 3 + 3

y = 6

Answer:  The number is 36.
by Level 13 User (103k points)

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