Question

Ratio of Tom's age to Ben 's age is 3 : 1. Tom is 18 years old. How old is Ben? *
A. 5 years
B. 6 years
C. 17 years
D. 4 years

Answer 1

Answer:

B. 6 years.

Step-by-step explanation:

Given :

Ratio of Tom's age to Ben's age is 3 : 1.

Tom is 18 years old.

To find :-

Present age of Ben.

Solution :-

Let the ratio of their ages be 3x and 1x.

⇒ 18 years (Tom) = 3x

⇒ x = 18/3

∴ x = 6

⇒ Ben's age ratio = 1x

⇒ Ben's age =1(6)

∴ Ben's age = 6 years.

Verification :-

⇒ Tom's age : Ben's age = 3 : 1

⇒ 18 : 6 = 3 : 1

∴ L.H.S = R.H.S

Answer 2

Given that:

• Ratio of Tom's age to Ben's age is 3 : 1.
• Tom is 18 years old.

To Find:

• How old is Ben?

Let us assume:

• Ben is x years old.

Finding the age of Ben:

According to the question.

⟶ 3 : 1 = 18 : x

⟶ 3/1 = 18/x

Cross multiplication.

⟶ 3x = 18

⟶ x = 18/3

⟶ x = 6

Hence,

• B) Ben is 6 years old.