HOW TO SOLVE AGE PROBLEMS WITH RATIO

Problem 1 :

The present ages of Lenin and Jack are in the ratio 4 : 3. After 6 years, Lenin’s age will be 26 years. What is the present age of Jack?

Solution :

Problem 2 :

A is younger than B. Seven times the difference between their ages is equal to sum of their ages. Ratio of B's age after 12 years and A's present age is 5 : 3, then what is A's present age?

Solution :

Problem 3 :

If the ratio of the ages of son and father in 2015 and 2023 are 1 : 4 and 3 : 8 respectively, then find the sum of the ages of son and father in 2010.

Solution :

Problem 4 :

If the ratio of father's age to son's age is 4 : 1 and the product of their ages is 196, then find the ratio of their ages after 5 years.

Solution :

Problem 5 :

The ages of Michael and Benjamin are 2 : 3. After 12 years, their ages will be in the ratio 11 : 15. Find the present age Benjamin. 

Solution :

Problem 6 :

The ratio of the ages of the father and the son at present is 19 : 5. After 4 years, the ratio will become 3 : 1. What is the sum of the present ages of the father and the son?

Solution :

Problem 7 :

The present ages of P and Q are in the ratio 4 : 5 and after five years, their ages will be in the ratio 5 : 6. Find the sum of their present ages.

Solution :

Problem 8 :

Ten years ago, the ages of A and B were in trhe ratio 3 : 1. The ratio of their present ages is 2 : 1. What are their present ages? 

Solution :

Problem 9 :

The ratio between the present ages of P and Q is 2 : 3. If the difference between their ages is 8 years, find P's present age.

Solution :

Problem 10 :

The ratio of the present ages of James and Daniel is 5 : 3. Six years ago, their ages were in the ratio 3 : 1. What will the ratio of their ages be, after 6 years? 

Solution :

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