Question

The ages of Nirav and his mother is is in the ratio 1:2 . 10 years ago their ages were in the ratio 1:3. What is the present age of Nirav​

Answer 1

Answer:

The present age of Nirav is 20 years

Explanation:

Given :

• The ages of Nirav and his mother is is in the ratio 1 : 2

• 10 years ago their ages were in the ratio 1 : 3

To find :

• The present age of Nirav

Solution :

Let,

The present age of Nirav = x

The present age of Nirav's Mother = 2x

10 years ago,

The age of Nirav = x - 10

The age of Nirav's Mother = 2x - 10

Also,

Their ages were in the ratio 1 : 3

So,

⇒ $\sf{\dfrac{x \: - \: 10}{2x \: - \: 10} \: \: = \: \: \dfrac{1}{3}}$

⇒ 3 (x - 10) = 1 (2x - 10)

⇒ 3x - 30 = 2x - 10

⇒ 3x - 2x = - 10 + 30

⇒ x = 20

Therefore,

The present age of Nirav is 20 years

Answer 2

Answer:

✡ Question ✡

✏ The ages of Nirav and his mother is is in the ratio 1:2 . 10 years ago their ages were in the ratio 1:3. What is the present age of Nirav.

✡ Given ✡

⚫The ages of Nirav and his mother is is in the ratio 1 : 2

⚫ 10 years ago their ages were in the ratio 1 : 3

✡ To find ✡

✏ The present age of Nirav.

✡ Solution ✡

Let,

➡The present age of Nirav = x

➡The present age of Nirav's Mother = 2x

▶ In the 10 years ago,

➡The age of Nirav = x - 10

➡The age of Nirav's Mother

= 2x - 10

Also,

➡Their ages were in the ratio 1 : 3

▶According to the question :-

=> x-10/2x-10 = 1/3

=> 3 (x - 10) = 1 (2x - 10)

=> 3x - 30 = 2x - 10

=> 3x - 2x = - 10 + 30

=> x = 20

∴ The present age of Nirav is 20 years

Explanation:

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