The ratio of kabil’s age 6 years ago and sahul’s age after 6 years is 3 : 3. If at present, the ratio of their ages is 7: 5, then find the ratio between kabil’s age 6 years hence and sahul’s age 6 years ago. a) 1 : 3 b) 2 : 1 c) 4 : 3 d) 3 : 4
B
At present: Ratio of their ages = 7 : 5. Therefore, 7: 5 will be 7x and 5x.
kabil’s age 6 years ago = 7x – 6
sahul’s age after 6years = 5x + 6
Ratio of kabil’s age 6years ago and sahul’s age after 6 years is 3 : 3
Therefore,
(7x – 6)/(5x+6) =3/3
Solving, we get x = 6
We are asked to find the ratio between kabil’s age 6 years hence and sahul’s age 6 years ago.
kabil’s age : (7x + 6)
sahul’s age: (5x – 6)
Ratio of sahul’s age and kabil’s age
(7x + 6) / (5x – 6) = 48/24 =2/1 =2:1