Question

5. The present ages of A and B are in the ratio 5 : 6. Three years ago, their ages were
in the ratio 4:5. Find their present ages.
7. Two numbers are in the ratio 5 : 6. When 2 is added to first and 3 is added to
second, they are in the ratio 4: 5. Find the numbers.
The​

Answer 1

Step-by-step explanation:

Ratio of the present ages of A and B=5:6

Let age of A=5x

and age of B =6x

3 years hence,

Age of A was =5x−3

and age of B was =6x−3

6x−35x−3=54

⇒25x−15=24x−12

⇒25x−24x=−12+15

⇒x=3

Present ages of A =5x=5×3=15 years

and age of B=6x=6×3=18 years

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