A two digit non zero number x is equal to the sum of a number y and its square. If sum of the digits

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02 Nov 2012 integer

A two digit non zero number x is equal to the sum of a number y and its square. If sum of the digits of x is equal to y and tens digit of x is half of its unit digit, then product of x and y will be

OPtion

1) 30
2) 36
3) 48
4) 24
5) 16
6) 81
7) 75
8) 90
9) 18
10) none of these

Solution

let x = 10a+b (1)
then according to the given condition
x = y + y^2 (2)
a+b = y (3)
a = b/2 (4)
on solving these equations we get x = 12 and y = 3

Correct Option: 2 Best Solution (0)