Question

The ages of Rahul and Raj are in the ratio 4:5. Four years later , the sum of their ages will be 80 years . What are their present ages

Answer 1

Answer:

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Answer 2

GIVEN :

• The ages of Rahul and Raj (in ratio) = 4:5

• The sum of their age = 80 years.

TO FIND :

• The present ages of Rahul and Raj = ?

STEP BY STEP EXPLANATION :

=> The present age of Rahul = 4x (GIVEN)

=> The present age of Raj = 5x (GIVEN)

AFTER FOUR YEARS,

=> The age of Rahul = ( 4x + 4 )

=> The age of Raj = ( 5x + 4 )

★ The sum of ages of Rahul and Raj = 80 Years

=> ( 4x + 4 ) + ( 5x + 4 ) = 80

=> 9x + 8 = 80

$= > \frac{72}{9} = 8$

=> x = 8

→ For Rahul = 8 × 4 = 32 years

→ For Raj = 8 × 5 = 40 years

Hence, The present Age of Rahul = 32 years and age of Raj = 40 years