Seven years ago the ages of A and B are in the ratio 4:5 and 7 years hence the ages will be in the ratio 5: 6 what will be the ratio of the ages 5 years from now?
Show answer & explanation
Correct answer: C
Explanation
The correct answer is Option 1 i.e. 34 : 41
| Application |
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Let seven years ago, the age of A be 4x So, seven years ago, the age of B be 5x. Seven years hence, the age of A = 4x+14 So, seven years hence, the age of B = 5x+14 According to the question, (4x + 14)/(5x + 14) = (5/6) 24x + 84 = 25x + 70 x = 14 Five years hence, the age of A = 4x+12 = 4(14) +12 = 68 So, Five years hence ,age of B = 5x +12= 5(14) + 12 = 82 The ratio of their ages 5 years from now = 68 : 82 = 34 : 41 |