Question

In a two digit number, the unit's digit is two more than tens digit. Sum of the digits is equal to 1/4 of the whole number. Find the number.​

Answer 1

Answer:

let the tens digit is x

then unit's digit is x+2

the number is 10x+x+2=11x+2

again sum of the digits is equal to 1/4 of the whole number

so,

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

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

=> 8x+8=11x+2

=> 8x-11x=2-8

=> -3x= -6

=> x= -6/-3

=> x=2

so tens digit is 2 and unit digit is 2+2=4

the number is 24