Question

the ratio of 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:

According to question,

4p=3q

and 7p-5q=10

and so p=30 and q=40 (are their present ages)

Answer 2

Given :-

• The ratio of 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

5 Years Ago :

• Age of P = 3x - 5
• Age of Q = 4x - 5

According to the Question :

➟ 3x - 5 / 4x - 5 = 5/7

➟ 7 (3x - 5) = 5 (4x - 5)

➟ 21x - 35 = 20x - 25

➟ 21x - 20x = 35 - 25

➟ x = 10

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Therefore :

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

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