Question

The ages of Mohan and Ram are in the ratio 5:7. If 45 is added to the number , the digits are reversed . Find the number​

Answer 1

Answer:

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}

7x+4

5x+4

=

4

3

= > 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.

Answer 2

Let x be the present age of mohan and sohan then present age of mohan is 5x and that of sohan is 7x.

According to 1st condition -

Mohan's age will be 5x+9

Sohan's age will be 7x−9

⇒5x+9:7x−9=2:1

⇒ 7x−9

5x+9

= 1

2

⇒(5x+9)=2(7x−9)

⇒5x+9=14x−18

⇒5x−14x=−18−9

⇒−9x=−27

⇒x=3

Present age of mohan is 5x=5×3=15

Present age of sohan is 7x=7×3=21

hence, solved.