4 years ago ratio of the ages of father and son is 8 : 5 . After 2 years the ratio of their ages will become 19 : 13. What is the present age of father ( in years ) ?
Answer & explanation
Correct answer: option 2
4 years ago Father : Son
8 : 5
Present age of father = 8x + 4 , Present age of son = 5x + 4
Ages after 2 years,
Age of father = 8x + 6 & age of Son = 5x + 6
Now, \(\frac{8x\; + \;6}{5x \;+\; 6}\) =\(\frac{19}{13}\)
104x +78 = 95x + 114
9x = 114 -78 =36
x=4
Present age of father = 8 × 4 + 4 =36 years