Question

Ramu's age four years ago is equal to the present
age
of Raman. The ratio of Ramu's age five years
hence and Raman's age three years ago is 7:3
Find the present age of Raman.​

Answer 1

Answer:

12 year

Step-by-step explanation:

Let the present age of Ramu be 'x' year and that of Raman be 'y'.

Ramu's age four year back = x - 4

As given, x - 4 = y

Ramu's age five year hence = x + 5

Raman's age three year back = y - 3

Ratio = (x + 5)/(y - 3) = 7/3

=> (x + 5)/(y - 3) = 7/3

=> 3(x + 5) = 7(y - 3)

=> 3x + 15 = 7(x - 4 - 3)

=> 3x + 15 = 7x - 49

=> 49 + 15 = 7x - 3x

=> 64/4 = x

=> 16 = x

Present age of Raman = y = x - 4 = 16 - 4 = 12 year.

Answer 2

Answer :-

• Present age of Raman is 12 years.

Step by step explanation :-

Given :-

1. Ratio of Ramu's age five years hence and Raman's age three years ago is 7:3.
2. Ramu's age four years = Present age of Raman.

To find :-

• Present age of Raman.

Concept :-

• We're going to let the age of both boys in terms of a variable.

• Then, we'll form a relationship between age of both boys according to the given question.

• After finding the value of unknown variable, we'll coorelate the relation once again to for finding the required answer and the present age of Raman.

Solution :-

Let the present age of Ramu be 'a' years.

Let the present age of Raman be 'b' years.

Before 4 years :-

Ramu's age = a-4

As we know that,

a-4 = b --------(i)

Now, After 5 years :-

Ramu's age = a+5

Before 3 years :-

Raman's age = b-3

Given Ratio :-

⠀⠀⠀⠀⠀⠀⠀⠀⠀(a+5)/(b-3) = 7/3

• On cross-multiplication

⠀⠀⠀⠀⠀⠀⠀⠀⠀3(a+5)=7(b-3)

⠀⠀⠀⠀⠀⠀⠀⠀⠀⇒ 3a+15 = 7(a-4-3) [ from (i) ]

⠀⠀⠀⠀⠀⠀⠀⠀⠀⇒ 3a+15 = 7a-49

⠀⠀⠀⠀⠀⠀⠀⠀⠀⇒ 49+15 = 7a - 3a

⠀⠀⠀⠀⠀⠀⠀⠀⠀⇒ a = 64/4 = 16

∴ Present age of Raman = b = 16-4 = 12 years ✓