The age of Rahul and haroon are in the ratio 5:7 . four years later the sum of their age will be 56 year what are their present age ????
plz ans
Answers
Answer: The present age of Rahul is 20 years and the present age of Haroon is 28 years.
Step-by-step explanation:
Four years later the sum of their age will be 56 years.
Therefore, the sum of their present age is = {56-(4+4)} years = 48 years
The ratio of the present age of Rahul and Haroon is 5:7
The sum of their ratio = 5+7 = 12
So, the present age of Rahul is = 5/12 of 48 years = 20 years
The present age of Haroon is = 7/12 of 48 years = 28 years
Let the ages of Rahul and Haroon be 5x and 7x. Four years later,
The ages of Rahul and Haroon will be (5x + 4) and (7x + 4) respectively.
According to the question,
(5x + 4) + (7x + 4) = 56
⇒ 5x + 4 + 7x + 4 = 56
⇒ 12x + 8 = 56
⇒ 12x = 56 – 8
⇒ 12x = 48
⇒ x = 48/12
⇒ x = 4
Therefore, Present age of Rahul = 5x = 5×4 = 20
And, present age of Haroon = 7x = 7×4 = 28