Question

A) Sum of the digits of a two digit number is 7. The difference between
original number and the number obtained by reversing the digits is
27. Find the original number.​

Answer 1

Answer:

the sum of the digits of a two digit number is 7. the number obtained by interchanging digits exceeds the original numbe...

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Answer 2

Answer: The original number is 52

Step-by-step explanation:

Let the ones place = x

Let the tens place= y

Number = 10y + x

Reversing the number = 10x+y

according to question we have

$x+ y= 7 -----(i) \\\\10y+x - (10x+y) = 27\\\\10y+x-10x-y= 27\\\\9y -9x= 27 \\\\ y-x= 3----(ii)$

Solving (i) and (ii)

y= 5 and x= 2

Number is 10y+x = 10 x 5 +2 = 52

Hence, the original number is 52