Question

The ages of Hari and Harry are in the ratio 5:7. Four years later from now the ration of their ages will be 3:4. Find their present ages..............................Pls i need help

Answer 1

20 and 28

Explanation:

Let x represent the current age of Hari and y represent the current age of Harry

Since the current ratio is 5:7:

5/7 = x/y

→ 5y = 7x (1)

Hari's age will be x+4 and Harry's age will be y+4 four years later. Since the ration of their ages will be 3:4 four years later:

3/4 = (x+4)/(y+4) (2)

→ 3(y+4) = 4(x+4)

→ 3y + 12 = 4x + 16

→ 3y = 4x + 4 (Substitute the y as 7x/5 from the equation 1)

→ 3(7x/5) = 4x + 4

→ 21x = 20x + 20

→ x = 20

y = 7x/5 = 7(20)/5 = 28