Three years ago, the ratio of the ages of mother and daughter was 8 : 3. After 4 years ,their ages will be in the ratio 11 : 5. What is present age of mother ( in years ) ?
Answer & explanation
Correct answer: option 3
3 years ago Mother : Daughter
8 : 3
At the present age of mother = 8x + 3 , age of daughter = 3x + 3
After 4 years ,
age of Mother = 8x + 7 , age of daughter = 3 x + 7
Now ,
\(\frac{8x\; + \; 7}{3x \; +\; 7}\) =\(\frac{11}{5}\)
40x + 35 = 33x + 77
x = 6
Present age of mother = 8 × 6 + 3 = 51 years