A mother is 25 years older than her daughter. Five years ago, the mother's age was six times the daughter's age. What is the mother's present age?

Introduction / Context:We combine a difference-of-ages condition with a past multiple relation. Express both conditions as equations and solve for present ages.

Given Data / Assumptions:

• Mother is 25 years older than daughter now.
• Five years ago, mother's age was six times daughter's age.

Concept / Approach:Let present ages be M and D. Then M = D + 25, and M − 5 = 6(D − 5). Solve for D first, then compute M.

Step-by-Step Solution:

Verification / Alternative check:

Why Other Options Are Wrong:

• 25, 29, 32 years do not satisfy the six-times relation with a 25-year difference.
• None of these: 35 fits perfectly.

Common Pitfalls:Using M − D = 25 but forgetting to subtract 5 from both in the past relation; or replacing “six times” with “six more.”

Final Answer:35 years