Question 88

If the digits of a two-digit number are interchanged the newly formed number is more than the original number by 18 and sum of the digits is 8, then what is the original number?

Solution

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Let the two-digit number be 'xy'
The number after interchanging the digits = yx
Given that x + y = 8
And 10y + x = 18 + 10x + y
y - x = 2
On solving both the equations, we get x = 3, y = 5
$$\therefore$$ The number is 35.

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