One year ago , the ratio of age of Amit to Sumit was 3 : 2. The ratio of their respective ages , 13 years from now , will be 4 : 5. What will be ratio of their respective age after 9 years from now ?
Answer & explanation
Correct answer: option 3
A : S
( 1 Year ago ) 3 : 2
Present age of Amit = 3x + 1 , Present age of sumit = 2x + 1
After 13 years , age of Amit = 3x + 14 , age of Sumit = 2x + 14
Now, \(\frac{3x\; +\; 14}{2x\;+\;14}\) = \(\frac{4}{5}\)
15x + 70 = 8x + 56
7x= 14
x = 2
Present age of Amit = 3 × 2 + 1 = 7 , age of Sumit = 2 × 2 + 1 = 5
A : S
After 9 years → 16 : 14
8 : 7