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A two-digit number is 4 times the sum of its digits. The unit digit is 3 more than the tens digit. Find the number.

Class 10Word Problems on Linear PairsAlgebra — Systems of Equations

A36
B24
C48
D25

Step-by-Step Solution

Number =

10 x + y = 4 (x + y)

gives

6 x = 3 y, y = 2 x

. Also

y = x + 3

so

2 x = x + 3, x = 3, y = 6

. Number 36.

Answer: A) 36

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