Question

The age of A is five years more than that of B. 5 years ago, the ratio of their ages was 3:2. Find their present ages.

Answer 1

a: 20

b : 15

Explanation:

3*5 = 15

2*5 = 10

15-10 = 5

15+5 = 20

10+5 = 15

Answer 2

Let:

• Present age of B be 'x' years.
• Present age of A be ( x + 5 ) years.

`\:`

5 years ago,

• Age of A = (x + 5) - 5 years = x years.
• Age of B = ( x - 5 ) years.

`\:`

According to the question,

`\quad`
`\quad`
`\quad`
`{ \large{ \rm{ (x)/(x - 5) = (3)/(2) }}}`

`{ \green{ \implies}}{ \sf{2x = 3(x - 5)}}`

`{ \green{ \implies}}{ \sf{2x = 3x - 15}}`

`{ \green{ \implies}}{ \sf{3x - 2x = 15}}`

`{ \green{ \implies}}{ \sf{x = { \boxed{ \pink{15}}}}}`

`\:`

Therefore,

Present age of B (x) = 15 years.

Present age of A (x + 5) = 20 years.