Question

There are two children named p and q. If it is known that the ages of p and q are in a ratio of 4:20, and the sum of their ages is 10 years and 6 months. Find the age of q.

• A. 5 years
• B. 8 years
• C. 4 years
• D. 7 years

Hint:

Always simplify your ratios first. Working with 1:5 is much faster than 4:20!

Answer 1

The Correct Option is B

Concept: Ratio = 4:20, which simplifies to 1:5. Sum of ages = 10.5 years.
Step 1: Simplify the ratio and convert units.
Ratio \(p:q = 4:20 = 1:5\).
Sum of ratios = \(1 + 5 = 6\).
Total age = 10 years 6 months = 10.5 years.

Step 2: Find q's age.
Age of q = \(\frac{5}{6} \times 10.5 = 5 \times 1.75 = 8.75 \text{ years}\).
8.75 years = 8 years and 9 months.