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Q1.solve the problem
the age of Rahul and haroon are in the ratio 5:7. Four years later the sum of there age is 56. what are their present age
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Answer 1

Explanation:

✬ Rahul's Age = 20 Years ✬

✬ Rahul's Age = 20 Years ✬✬ Haroon's Age = 28 Years ✬

Step-by-step explanation:

Given:

Age of Rahul and Haroon are in ratio 5:7.

After 4 years sum of there ages is 56.

To Find:

Present ages of both ?

Solution: Let the present age of Rahul and Haroon be x and y years respectively. Therefore,

➟ Rahul's age/Haroon's age = 5/7

➟ x/y = 5/7

➟ 7x = 5y

➟ x = 5y/7ㅤㅤㅤㅤㅤ(eqⁿ i )

A/q , After 4 year their ages and sum will be

Rahul's age = (x + 4) years

Haroon's age = (y + 4) years

Sum = 56 years

⟹

⟹ x + 4 + y + 4 = 56

⟹ x + y = 56 – 8

⟹ 5y/7 + y = 48

⟹ 5y + 7y/7 = 48

⟹ 12y = 48 × 7

⟹ y = 336/12⟹

y = 28

So present age of Haroon is 28 years and age of Rahul is x :-

➮ x = 5 × 28/7

➮ x = 5 × 4

➮ x = 20 years

Hence, present age of Rahul is 20 years.