Q40 of 168 Page 7

The product of the ages of two sisters is 104. The difference between their ages is 5. Find their ages.

Let the sister and her sister’s age be ‘X’ yrs and ’(X+5)’ yrs respectively.


As per the question,


X(X + 5) = 104


X2 + 5X – 104 = 0


X2 + 13X – 8X + 132 = 0


X(X + 13) – 8(X + 13) = 0


(X + 13)(X – 8) = 0


∴X = 8 or X = –13


the ages of sisters are 8 years & 13 years respectively, as the age can’t be negative.


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