Question : Directions: The total age of a mother and her daughter is 60 years. The difference between their ages is 30 years. Find out the age of the mother.
Option 1: 40 years
Option 2: 45 years
Option 3: 50 years
Option 4: 55 years
Correct Answer: 45 years
Solution : Let the age of the mother be A and the age of the daughter be B.
The total age of a mother and her daughter is 60 years ⇒ A + B = 60
The difference between their ages is 30 years ⇒ A – B = 30
On adding both the equations, the equation becomes –
⇒ A + B + A – B = 60 + 30
⇒ 2A = 90
⇒ A = 90 ÷ 2
⇒ A = 45
So, the age of the mother is 45 years. Hence, the second option is correct.
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