Question

The ages of Mohan and Ram are in the ratio 5:7. Four years later, their ages will be in the ratio 3:4. Find their ages.​

Answer 1

Answer:

Age of Mohan is 20 years

Age of Ram is 28 years

Step-by-step explanation:

Given,

Let the age of Mohan be '5x' and the age of Ram be '7x' since the ratio of their ages is 5:7

4 years later:-

Age of Mohan = (5x+4)

Age of Ram = (7x+4)

The ratio of their ages 4 years later is 3:4

According to question,

$\frac{5x + 4}{7x + 4} = \frac{3}{4}$

$= > 4(5x + 4) = 3(7x + 4)$

$= > 20x + 16 = 21x + 12$

$= > 20x - 21x = 12 - 16$

$= > - x = - 4$

$= > x = 4$

Therefore, the value of x is 4

Hence, The age of Mohan (5×4)=20 years and the age of Ram is (7×4)=28 years.

Answer 2

Answer:

Age of Mohan is 20 years

Age of Ram is 28 years

Age of Mohan is 20 years

Age of Ram is 28 years

Step-by-step explanation:

Given,

Let the age of Mohan be '5x' and the age of Ram be '7x' since the ratio of their ages is 5:7

4 years later:-

Age of Mohan = (5x+4)

Age of Ram = (7x+4)

The ratio of their ages 4 years later is 3:4

According to question,

\frac{5x + 4}{7x + 4} = \frac{3}{4}7x+45x+4=43

= > 4(5x + 4) = 3(7x + 4)=>4(5x+4)=3(7x+4)

= > 20x + 16 = 21x + 12=>20x+16=21x+12

= > 20x - 21x = 12 - 16=>20x−21x=12−16

= > - x = - 4=>−x=−4

= > x = 4=>x=4

Therefore, the value of x is 4

Hence, The age of Mohan (5×4)=20 years and the age of Ram is (7×4)=28 years.