Question

Bernard is 5 times older than Victor. Victor is five years older than Peter. If the sum of their ages is 65 years, how old will Victor be in 7 years?

Answer 1

Answer:

17 years

Step-by-step explanation:

Let Peter's age be x.

Victor's age = x+5

Bernard's age= 5(x+5)=5x+25

A/Q,

x+x+5+5x+25=65

7x+30=65

7x= 35

x=5

=> Victor's age = 5+ 5 = 10 years

    Victor's age after 7 years=10+7= 17 years

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Answer 2

Answer:

Age of Victor in 7 years = 17 years

Step-by-step explanation:

Let,

The age of Peter = x

Victor is five years older than Peter

So,

The age of Victor = x + 5

Bernard is 5 times older than Victor

The age of Bernard = 5 (x + 5)

★ According to the question :

The sum of their ages is 65 years

⇒ (x) + (x + 5) + 5 (x + 5) = 65

⇒ (x) + (x + 5) + 5x + 25 = 65

⇒ x + x + 5x + 5 + 25 = 65

⇒ x + x + 5x + 30 = 65

⇒ 7x + 30 = 65

⇒ 7x = 65 - 30

⇒ 7x = 35

⇒ x = 35 / 7

⇒ x = 5

The age of Peter = 5 years

____________________________

The age of Victor = x + 5

⇒ 5 + 5

⇒ 10

Age of Victor in 7 years :

⇒ x + 5 + 7

⇒ 5 + 5 + 7

⇒ 17

Therefore,

Age of Victor in 7 years = 17 years