Question

Q7 The age of Rachit and
Daksh are in the ratio 7:5 After
10 years the ratio of their age
will be 9:7 find their present
age​

Answer 1

Answer:

Let's first find age of Rachit,

Rachit 10yrs later = 9x

Now = 7x

10yrs difference = 2x

so,

x = 10 ÷2 = 5yrs

So, Rachit's present age is 5 × 7 yrs or 35yrs.

Also, present age of Daksh is 5 × 5 yrs or 25yrs.

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Answer 2

Answer :

• Rachit = 35 years.
• Daksh = 25 years.

Explanation :

Age ratio of

→ Rachit : Daksh = 7 : 5

10 years hence, their age ratio becomes 9 : 7

Let's say, the age of

• Rachit = 7x
• Daksh = 5x

10 years later, age of

• Rachit = (7x + 10) years.
• Daksh = (5x + 10) years.

According to the question,

→ (7x + 10) : (5x + 10) = 9 : 7

→ (7x + 10)/(5x + 10) = 9/7

→ 7(7x + 10) = 9(5x + 10)

→ 49x + 70 = 45x + 90

→ 49x - 45x = 90 - 70

→ 4x = 20

→ x = 20/4

→ x = 5.

Therefore, the present age of,

• Rachit = 7x = 7(5) = 35 years.
• Daksh = 5x = 5(5) = 25 years.