WBCS.LIVE practice question

The total age of a mother and her son is 60 years. The difference between their ages is 30 years. Find out the age of the mother.

Solve this multiple-choice question and check the correct answer with its explanation below.

Answer options

  1. 50 years
  2. 45 years
  3. 35 years
  4. 40 years

Correct answer and explanation

Correct answer: 45 years

Explanation: āœ… Correct Answer: B) 45 years šŸ“š Explanation: Step 1: Let the age of the mother be $M$ and the son be $S$. Set up two linear equations based on the problem details: $M + S = 60$ and $M - S = 30$. Step 2: Add the two equations together to eliminate the variable $S$: $$(M + S) + (M - S) = 60 + 30 \implies 2M = 90$$ Step 3: Solve for $M$ by dividing both sides of the equation by 2: $$M = \frac{90}{2} = 45\text{ years}$$