Question

Answer the given questions.

1. The ratio of present age of Ramesh and Mahesh is 5 : 7. After four years the ratio of

their age will be 3 : 4. Find out their present age. in photo​

Answer 1

Answer:

The present age of Ramesh is 20 years

The present age of Mahesh is 28 years

Step-by-step explanation:

Let,

The present age of Ramesh = 5x

The present age of Mahesh = 7x

After four years,

The age of Ramesh = 5x + 4

The age of Mahesh = 7x + 4

And,

The ratio of thier age will be 3 : 4

So,

⇒ $\sf{\dfrac{5x + 4}{7x + 4} = \dfrac{3}{4}}$

⇒ 4 (5x +4) = 3 (7x + 4)

⇒ 20x + 16 = 21x + 12

⇒ 20x - 21x = 12 - 16

⇒ -1x = - 4

⇒ 1x = 4

⇒ x = 4

_________________________

★ Value of 5x :

⇒ 5 (4)

⇒ 5 × 4

⇒ 20

_________________________

★ Value of 7x:

⇒ 7 (4)

⇒ 7 × 4

⇒ 28

Therefore,

The present age of Ramesh is 20 years

The present age of Mahesh is 28 years

Answer 2

$\mathcal{\huge{\fbox {\red{Question\:?}}}}$

✴ The ratio of present age of Ramesh and Mahesh is 5 : 7. After four years the ratio of their age will be 3 : 4. Find out their present age.

$\mathcal{\huge{\fbox{\green{Answer:-}}}}$

✏ The present age of Ramesh is 20 years & Mahesh is 28 years.

$\mathcal{\huge{\fbox{\purple{Solution:-}}}}$

Given :-

• The ratio of present age of Ramesh and Mahesh is 5 : 7.

• After four years the ratio of their age will be 3 : 4.

To find :-

• The present age of Ramesh & Mahesh.

Calculation :-

According to the question,

• The ratio of present age of Ramesh and Mahesh is 5 : 7.

Consider,

The present age of Ramesh 5x & the present age of Mahesh 7x.

After four years age will be ,

The age of Ramesh (5x + 4) & Mahesh (7x + 4).

• After four years the ratio of their age will be 3 : 4.

➡ $\dfrac{5x + 4}{7x + 4} = \dfrac{3}{4}$

➡ 4 (5x +4) = 3 (7x + 4)

➡ 20x + 16 = 21x + 12

➡ 20x - 21x = 12 - 16

➡ -1x = - 4

➡ 1x = 4

➡ x = 4

Here , we find x = 4 .

• The present age of Ramesh 5x.

The value of x is 4.

➡ 5x = 5× 4 = 20 yrs

So,The present age of Ramesh is 20yrs.

• The present age of Mahesh 7x.

The value of x is 4.

➡ 7x = 7× 4 = 28 yrs .

So,The present age of Mahesh is 28yrs.

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