Question

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9. The ages of Rahul and Haroon are in the ratio 5:7. Four years later the sum of their
ages will be 56 years. What are their present ages?​

Answer 1

Answer :

• Present age of Rahul is 20 years
• Present age of Haroon is 28 years

Given :

• The ages of Rahul and Haroon are in the ratio 5 : 7
• Four years later the sum of their ages will be 56 years

To find :

• Present ages

Solution :

• Let the age of Rahul be 5x
• Let the age of Haroon be 7x

After 4 years,

• Age of Rahul = 5x + 4
• Age of Haroon = 7x + 4

Sum of their ages = 56 years

According to question,

》(5x + 4) + (7x + 4) = 56

》5x + 7x + 4 + 4 = 56

》12x + 8 = 56

》12x = 56 - 8

》12x = 48

》x = 48/12

》x = 4

Now , we have to find the present ages :

• Present age of Rahul = 5x = 5(4) = 20 years
• Present age of Haroon = 7x = 7(4) = 28 years

Answer 2

Answer:

QUESTION:

The ages of Rahul and Haroon are in the ratio 5:7. Four years later the sum of their ages will be 56 years. What are their present ages?

GIVEN:

The ages of Rahul and Haroon are in the ratio 5:7.

Four years later the sum of their ages will be 56 years.

R.T.F:

Their present ages

LET'S ASSUME:

Rahul's age=5x

Haroon's age=7x

Their ages after 4 years= 5x+4 and 7x+4

SOLUTION:

Sum of their ages will be 56 years (given)

(5x+4)(7x+4)=56

12x+8=56

12x=56-8

12x=48

x= 4

Rahul's age after 4 years= (5x+4)= 24 years

Haroon's age after 4 years= (7x+4)=32 years

HOPE THIS HELPS YOU ☺️

$\bf \purple{THANK \: YOU}$