Question

The ratio of tens digit to the units digit of a two digit number is 2:3.If 27 is added to the number, the digits interchange their places. Find the number.

Answer 1

Answer:

69

Step-by-step explanation:

let 10th digit=2x

then unit digit=3x

No = 20x+3x=23x

after adding 27

23x+27

The digits are interchanged

so new No= 10*3x+2x=32x

so 23x+27=32x

32x-23x=27

9x=27

x=3

so the digits are

at tens=2x=2*3=6

at unit= 3x=3*3=9

So the number is: 69