Question

The sum of the ages of a daughter and mother is 56 years; after four years the age of the mother will be three times that of the daughter. What is the age of the daughter and the mother respectively?​

Answer 1

Correct Question:

The sum of the ages of a daughter and mother is 56 years; after four years the age of the mother will be three times that of the daughter. What is the age of the daughter and the mother respectively?

Answer > 12 years, 44 years

Explanation:

Let the present age of the mother be x years and the present age of the daughter be y years

According to the question,

x+y = 56 —- (1)

After 4 years, age of the Mother = x+4

Age of the daughter after 4 years = y+4

So,

x+4 = 3 (y+4) —- (2)

x+4 = 3y + 12

From the equation (1) we get, x = 56-y

Thus, keep the value of x in equation 2, we get

(56-y) + 4 = 3y + 12

⇒60 – y = 3y + 12

⇒y = 12

So, the daughter’s present age is 12 years

Mother’s present age = 56-12 = 44 years

Hence, required answer is 12 years, 44 years

Answer 2

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