the ratio of the present age of father to that son is 7:2 after 10 years their ages will be in the ratio of 9:4 the present age of father is. a) 35 years. B) 40 years. c) 30 years. d) 25 years. With explanation
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the ratio of the present age of father to that son is 7:2 after 10 years their ages will be in the ratio of 9:4 the present age of father is. a) 35 years. B) 40 years. c) 30 years. d) 25 years. With explanation
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Step-by-step explanation:
let x
According to question
7x is father's age and 2x is son's age
7x + 10 + 2x + 10 = 9x + 4x
9x + 20 = 13x
20 = 13x - 9x
20 = 4x
x = 20/4
x = 5
father's age = 7x
= 7 * 5
= 35 years
Given
To Find
Solution :
Let, the multiple of ratio be x
ratio of the age of father to that son after 10 years = 9:4
⇒ 7x + 10 : 2x + 10 = 9 : 4
⇒ 28x + 40 = 18x + 90
⇒ 28x - 18x = 90 - 40
⇒ 10x = 50
⇒ x = 50/10
⇒ x = 5
Present age of father = 7x
➸ Present age of father = 7 × 5
➸ Present age of father = 35
★ Present age of father is 35