Question

The ratio of the present ages of P and Q is 3 : 4. Five years ago, the ratio of their ages was 5 : 7. Find their present ages.

Answer 1

Answer:

age of people is 2 and a half

Answer 2

Given :-

• The ratio of the present ages of P and Q is 3 : 4.
• Five years ago, the ratio of their ages was 5 : 7.

To Find :-

• Their Present Ages

Solution :-

⟼ Let the Present age of P be 3x

⟼ Let the Present age of Q be 4x

Before 5 years :

⟼ 5 years ago Present age of P be 3x - 5

⟼ 5 years ago Present age of Q be 4x - 5

According to the Question :

➞ (3x - 5) / (4x - 5) = 5/7

➞ 7 (3x - 5) = 5 (4x - 5)

➞ 21x - 35 = 20x - 25

➞ 21x - 20x = - 25 + 35

➞ x = 10

________________

Therefore :

• Present age of P = 3x = 3 × 10 = 30years
• Present age of Q = 4x = 4 × 10 = 40years

________________