Question

Twelve years ago, Rekha's age was 2/5 of that of her sister. The ratio of Rekha's and her sister's present age is 3: 4. What is the total of their present ages?

• A. 42 years
• B. 48 years
• C. 36 years
• D. 28 years

Answer 1

Answer:

C. 36 years

present age ratio is $3:4$

12 years ago

$R=\frac25S$

$\frac{3x-12}{4x-12}=\frac{2}{5}$

$15x-60=8x-24$

$7x=60-24$

$x=36/7$

sum of ages is

$=3\times \frac{36}{7}+4\times \frac{36}{7}$

$=\frac{108}{7}+\frac{144}{7}=\frac{252}{7}$

$=36$