Question

the sum of two digit number and the number obtained by interchanging the digits 132 if the to differ by 2 find the number

Answer 1

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Let the digit at tens place be x and at units place be y

A/q

x - y = 2 ,

x y ----- (i)

Original number = 10x + y

Interchanged number = 10y + x

Sum of it

=> 10x + y + 10y + x = 132

=> 11 (x + y) = 132

=> x + y = 12 ---- (ii)

Adding eq'n (i) and (ii) , get

=> 2x = 14

=> x = 7

=> y = 5

So the number is 10x + y

= 10 × 7 + 5 = 75

Ans: 75

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