Question

the present ages of Gagan and Albert are in the ratio 2 : 3 four years from now their age will be in the ratio 5 : 7 then find their present ages ​

Answer 1

Answer:

2x+4/3x+4 =5/7

7(2x+4) = 5(3x + 4)

14x + 28 = 15x + 20

28- 20 = 15x- 14x

8 = x

age of gagan at present is 8 x 2 = 16

age of Albert's at present is 3 x 8 = 24

Answer 2

Answer:

The present age of Gagan is 16 years

The present age of Albert is 24 years

Step-by-step explanation:

Let,

The present age of Gagan = 2x

The present age of Albert = 3x

After 4 year

Age of Gagan = 2x + 4

Age of Albert = 3x + 4

According to question:

➨ $\sf{\dfrac{2x + 4}{3x + 4} = \dfrac{5}{7}}$

➨ 7(2x + 4) = 5(3x + 4)

➨ 14x + 28 = 15x + 20

➨ 14x - 15x = 20 - 28

➨ -1x = -8

➨ x = 8

The present age of Gagan = 2x

➨ 2 (8)

➨ 2 × 8

➨ 16

The present age of Albert = 3x

➨ 3 (8)

➨ 3 × 8

➨ 24

Therefore,

The present age of Gagan is 16 years

The present age of Albert is 24 years