Question

The sum of the ages of Ravi and Rathi is 37 years . Five years ago Ravi’s age was twice that of Rathi. Find their present ages.​

Answer 1

Answer:

• Ravi's present age = 23 years
• Rathi's present age = 14 years

Step-by-step explanation:

Let the present age of Ravi be x years

Since, rhe sum of the ages of Ravi and Rathi is 37 years.

The present age of Rathi = (37 - x) years

• Five years ago,

Ravi's age = (x - 5) years

Rathi's age = 37 - x - 5

= 32 - x years

Given,

Five years ago, Ravi's age was twice that of Rathi.

x - 5 = 2(32 - x)

x - 5 = 64 - 2x

2x + x = 64 + 5

3x = 69

x = 69/3

x = 23

Therefore,

The present age of Ravi = 23 years

The present age of Rathi = 37 - 23

= 14 years

Answer 2

Answer:

Ravi's present age = 23 years

Rathi's present age = 14 years

Step-by-step explanation:

Let the present age of Ravi be x years

Since, rhe sum of the ages of Ravi and Rathi is 37 years.

The present age of Rathi = (37 - x) years

Five years ago,

Ravi's age = (x - 5) years

Rathi's age = 37 - x - 5

= 32 - x years

Given,

Five years ago, Ravi's age was twice that of Rathi.

x - 5 = 2(32 - x)

x - 5 = 64 - 2x

2x + x = 64 + 5

3x = 69

x = 69/3

x = 23

Therefore,

The present age of Ravi = 23 years

The present age of Rathi = 37 - 23

= 14 years