Question

sum of two digit number and number obtain by reverse is 88 if digit of number is differ by 2 find number​

Answer 1

Answer:

Explanation:

The sum of a two digit number and the number obtained by reversing the digit is 88 if the digit of the number differ by 2 find the number how many such numbers are there

Let say NUmber is XY

Value = 10X + Y

Reverse of number = YX

Value = 10Y + X

10X + Y + 10Y + X = 88

=> 11X + 11Y =  88

=> X + Y = 8  - eq1

|X - Y| = 2

Case 1

X - Y = 2    - eq2

Adding eq 1 & eq 2

=> 2X = 10 => X  =  5 & Y = 3

Case 2

X - Y = -2    eq 3

Adding Eq 1 & eq 3

=> 2X = 6 => X = 3  & Y = 5

Numbers are 35  & 53

& reverse of numbers are 53 & 35

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