Question

4 years,hence the ratio of ages of P & Q will be 2:1 and also the sum of their present ages is 46 years.find the present age of P?

Answer 1

Given :

• 4 years,hence the ratio of ages of P & Q will be 2:1.

• The sum of their present ages is 46 years.

To find :

• The present age of P =?

Step-by-step explanation :

Let, the ages of P & Q will be 2x and 1x.

Then,

4 years hence P's age = 2x - 4.

And 4 years hence Q's age = 1x - 4.

The sum of their present ages is 46 years. [Given]

According to the question :

➮ (2x - 4) + (1x - 4) = 46

➮ 2x - 4 + 1x - 4 = 46

➮ 3x - 8 = 46

➮ 3x = 46 + 8

➮ 3x = 54

➮ x = 54/3

➮ x = 18.

Therefore, Present age of P's = 2x - 4 = 2 × 18 - 4 = 32 year's

Answer 2

Question:

Four years ago the ratio of ages of P and Q was 2:1 and also the sum of their present ages is 46 years . Find the present age of P .

Answer:

The present age of P is : 32 years

Given :

►4 years ago the ratio of ages of P and Q was 2:1

►The sum of ages of P and Q is 46 years .

To find :

The present age of P .

Solution:

We are given that,

4 years ago the ratio of ages of P and Q was 2:1

Let, the ages of P & Q will be 2m and 1m.

Then,

Four years ago P's age : 2m - 4.

And Four years ago Q's age: 1m - 4.

We are also given,

The sum of ages of P and Q is 46 years

⛬ (2m - 4) + (1m - 4) = 46

⛬ 2m - 4 + 1m - 4 = 46

⛬ 3m - 8 = 46

⛬ 3m = 46 + 8

⛬ 3m = 54

⛬ $\rm{ m = \frac{54}{3}}$

⛬ $\rm{\green{\boxed{\orange{m = 18}}}}$

⛬ Present age of P is = 2m - 4 = 2 × 18 - 4 = 32 years

►Present age of P is : 32 years