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A two-digit number equals 4 times the sum of its digits, and its units digit is 3 more than its tens digit. Find the number.

Competition practiceAlgebra

A36
B63
C24
D48

Step-by-Step Solution

10 a + b = 4 (a + b)

gives

b = 2 a

. With

b = a + 3, a = 3

and

b = 6

, so the number is 36.

Answer: A) 36

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