Question

The ratio of tens digit to the ones digit of a two-digit number is 3:4. If 18
is added to the number, the digits interchange their places, find the number.​

Answer 1

Step-by-step explanation:

let common multiplier be x

so digits are 3x and 4x

Tens digit is 30x and ones digit is 4x

so by condition:

30x+4x+18=40x+3x (after interchanging digits 4x is tens digit and 3x is ones)

34x+18=43x

18=9x

x=2

3x=3×2=6

4x=4×2=8

Therefore the number is 68

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