Question

The ratio of ages of two persons is 4:7 and the age of one of them is greater than that of the other by 30 years. What is the sum of their ages ?​

Answer 1

Answer:

110 yrs

Step-by-step explanation:

Ages of the persons = 4x and 7x years.

∴ 7x – 4x = 30 ⇒ 3x = 30

⇒ x = 10

∴ Sum of their ages = 4x + 7x

= 11x years

= 11 × 10 = 110 years

Answer 2

Answer:

The sum of their ages = 110

Step-by-step explanation:

The ratio of ages of two persons is 4:7

Let,

• The age of First person = 4x
• The age of Second person = 7x

The age of one of them is greater than that of the other by 30 years.

So,

Difference of their ages = 30 years

★ According to the Question :

⇒ 7x - 4x = 30

⇒ 3x = 30

⇒ x = 30 / 3

⇒ x = 10

________________________

The age of First person = 4x

⇒ 4 (10)

⇒ 40

The age of First person = 40 years

The age of Second person = 7x

⇒ 7 (10)

⇒ 70

The age of Second person = 70 years

________________________

The sum of their ages :

⇒ 70 + 40 = 110

Therefore, the sum of their ages = 110