Question

Esther is older than her brother by 4years. Twelve years ago, the ratio of their ages was 3:5. Find their present ages

Answer 1

Step-by-step explanation:

Let age of brother :x

age of Esther : x+4

twelve years ago....brother's age :x-12

Esther's age: x+4-12 =x-8

after this u can equate these equations

Answer 2

Answer:

The present age of Esther's brother is 18 years

The present age of Esther is 22 years

Step-by-step explanation:

Let,

The present age of Esther's brother = x

The present age of Esther = x + 4

Twelve years ago,

The age of Esther's brother = x - 12

The age of Esther = x + 4 - 12

⇒ x + 4 - 12

⇒ x - 8

The age of Esther = x - 8

Also,

The ratio of their ages was 3 : 5

So,

⇒ $\frac{x \: - \: 12}{x \: - \: 8} \: = \: \frac{3}{5}$

⇒ 5 (x - 12) = 3 (x - 8)

⇒ 5x - 60 = 3x - 24

⇒ 5x - 3x = - 24 + 60

⇒ 2x = 36

⇒ x = 36 / 2

⇒ x = 18

The present age of Esther's brother = 18

The present age of Esther = x + 4

⇒ x + 4

⇒ 18 + 4

⇒ 22

Therefore,

The present age of Esther's brother is 18 years

The present age of Esther is 22 years