Practice Test Discussion

Q)

In a two digit number, if it is known that its unit digit exceeds its tenth's place digit by 2 and product of the given number and sum of the digit is equal to 144, then the number is

    • Explanation

    Let the ten's digit be 'x'

    Then, unit's digit= x+2

    = 10x+(x+2)=11x+2

    Sum of digits =x+(x+2)=2x+2

    = (11x+2)(2x+2)=144

    = 22x²+22x-140=0

    = 11x²+13x-70=0

    = (x-2)(11x+35)=0

    = x=2

    ∴The required number  = 11x+2=24

    Hence, Option C is correct.

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