Explanation
Solution
Step 1: Define variables
Let the present age of the mother be M and the present age of the daughter be D.
Step 2: Formulate equations based on the given conditions
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Condition 1: The sum of their present ages is 63 yr.
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Condition 2: Four years ago, the mother was 4 times as old as the daughter.
Four years ago, Mother's age was (M−4) and Daughter's age was (D−4).
(M−4)=4(D−4)—(Equation 2)
Step 3: Solve the equations
From Equation 1, we can express D in terms of M:
Substitute this value of D into Equation 2:
Now, bring the M terms to one side:
Conclusion:
The present age of the mother is 48 years.
Correct Option: 2 (48 yr)
