Question

The ratio of the 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.

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,

⇒ \frac{5x + 4}{7x + 4} \: = \: \frac{3}{4}

7x+4

5x+4

=

4

3

⇒ 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

Step-by-step explanation:

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Answer 2

✬ Ramesh age = 20 Years ✬

✬ Mahesh age = 28 Years ✬

Step-by-step explanation:

Given:

• Ratio of present ages of Ramesh and Mahesh is in ratio 5 : 7.
• After 4 years their ages will be in ratio 3 : 4.

To Find:

• What is the present ages of both ?

Solution: Let x be the common in given ratio. Therefore,

➼ Ramesh's age = 5x years

➼ Mahesh's age = 7x years

[ Now after 4 years their ages will be ]

➫ Ramesh age = 5x + 4 years

➫ Mahesh age = 7x + 4 years

A/q

• After 4 years their ages will be in ratio 3 : 4

$\implies{\rm }$ (5x + 4) : (7x + 4) = 3 : 4

$\implies{\rm }$ (5x + 4)/(7x + 4) = 3/4

$\implies{\rm }$ 4(5x + 4) = 3(7x + 4)

$\implies{\rm }$ 20x + 16 = 21x + 12

$\implies{\rm }$ 20x – 21x = 12 – 16

$\implies{\rm }$ –x = – 4

$\implies{\rm }$ x = 4

So, Present ages are

➭ Ramesh age = 5x = 5(4) = 20 years

➭ Mahesh age = 7x = 7(4) = 28 years