1. The ratio between the present ages of P and Q is 6:7. If Q is 4 years old than P, what'll be the ratio of the ages of P and Q after 4 years?
Solution:
Let the resent ages of P and Q is 6x and 7x respectively.
If Q is 4 years old than P, then the equation will be
7x-6x=4
x=4
The ratio of the ages of P and Q after 4 years will be 6x+4: 7x+4
By substituting x value, the above equation becomes 28:32
On further simplification, it becomes 7:8. This will be your answer.
2. At present, the ratio between the ages of P and Q is 4:3. After 6 years, P's age will be 26 years. What's the age of Q at present?
Solution:
Let the present ages of both will be 4x and 3x respectively.
After 6 years, P's age will be 26 years so the equation will be
4x+6=26
x=5
The age of Q = 3x=3(5)
= 15 years.
3. Present ages of X and Y are in the ratio 5:6 respectively. Seven years hence this ratio will become 6:7 respectively. What's X's present age in years?
Solution:
Let the present ages of both will be 5x and 6x respectively.
After 7 years, their ratio will be 6:7 where 6=5x+7 and 7=6x+7. So this becomes
5x+7/6x+7 = 6/7
7(5x+7) = 6(6x+7)
35x+49 = 36x+42
x = 7
X's present is 5x=5(7)
= 35 years.
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