Question

12. The digit in the tens place of a two-digit number is three times that in the units place. If the
digits are reversed, the new number will be 36 less than the original number. Find the
original number. Check your solution.​

Answer 1

let the unit digit be x

let the tens digit be y

original no. =10y+x

y=3x (according to question)---[1]

Reversed no. =10x+y

(10y+x) - (10x+y) =36

10y+x-10x-y=36

9y-9x=36

9(y-x)=36

y-x=4-----[2]

Substituting the value of 1st equation in 2nd

3x-x=4

2x=4

x=2

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