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Naglakshmi

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· 1 Months ago

Explain (Question: 110951.0 )

Explain it

Question:
The sum of ages of a mother and her daughter is 50 years. Also 5 years ago, the mother’s age was 7 times the age of the daughter. What are the present ages of the mother and the daughter?
Options:
A) 40 years, 10 years
B) 48 years, 12 years
C) 32 years, 8 years
D) 36 years, 9 years
E) None of these
Solution:

Let 5 years ago, ages of mother and her daughter were 7x years and x years respectively.

 ∴ Present age of mother = (7x + 5) years

and present age of her daughter = (x + 5) years

According to question

Sum of their present age = 50

⇒ (7x+ 5) + (x + 5) = 50

⇒ 8x + 10 = 50

⇒ 8x=40

⇒ x= 5

∴ Present age of mother = 7x+ 5=7 × 5 + 5 = 35 + 5 = 40 years

and present age of her daughter = x + 5 = 5 + 5 = 10 years.

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