Practice Test Discussion

Q)

The sum of the digits of a two-digit number is 14 and the difference between the two digits of the number is 2. What is the product of the two digits of the two digit number?

    • Explanation

    Let the Ten's digit be 'x' and unit's digit be 'y'

    The two-digit number = 10x+y (where, x>y)

    According to the question

    ⇒ x+y=14 ---Eq(1)

    ⇒ x-y=2 ---Eq(2)

    Solving Eq(1) and Eq(2) 

    ⇒ x-y=2

    =x= 2+y

    substitute 'x' in Eq(1) we get

    ⇒ y=6

    substitute 'y' in Eq(2) we get

    ⇒ x=2+6=8

    ⇒ x=8, y=6

    ∴ Required product =8×6=48

    Hence, Option B is correct.

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