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The sum of the digits of a two digit number is 10, when the number is reversed, the number increases by 72.Find the number.
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- 64
- 82
- 19
- 37
Correct Option: C
By checking options
91-19=72
Or
Let the number be xy
So 10x + y = 10 ..... (i)
When the number is reversed the new number is yx
So (10y + 10 ) - ( 10x +y ) = 72 ....(ii)
From Eqs. (i) & (ii)
x = 1 and y =9
∴number = 19
