Question

(6) Ratio of ages of Ram and Shyam is 3:4. Sum of their ages after 5 years
will be 45 years. Find their present ages.​

Answer 1

Step-by-step explanation:

let the common multiplr be x

now 3:4 WILL BE 3x and 4x

the sum of ram's and shyam's age after 5 years will be 3x+5 and 4x+5

now,

(3x+5) + (4x+5) = 45

3x + 5 + 4x + 5 = 45

3x + 4x = 45 - 5 - 5 ( shifting the variables one side and the no. on other side )

7x = 45 - 10

7x = 35

x = 35/7

i.e x = 5

now,

ram's age will be 3x = 3×X = 3×5 = 15

shyam's age will be 4x = 4×X =4×5 =20

therefore, ram's and shyam's present age is 15 and 20.

Answer 2

Given :-

Ratio of ages of Ram and Shyam = 3:4

Sum of their ages after 5 years = 45 years

To Find :-

The present age of Ram.

The resent age of Shyam.

Analysis :-

Take the ages of Ram and Shyam as variables 3x and 4y respectively.

Make an equation and put the like terms together in order to find the value of x

Substitute the value of x in 3x and 4y to get their present ages.

Solution :-

Let the ages of Ram and Shyam be 3x and 4y

According to the question,

Age of Ram after 5 years = (3x + 5) years

Age of Shyam after years = (4y + 5) years

Given that,

Ratio of ages of Ram and Shyam = 3:4

Sum of their ages after 5 years = 45 years

Now, we have to get the value of x

$\sf \longrightarrow (3x+5)+(4x+5)=45$

$\sf =7x+5=45$

$= \sf 7x=45-5$

$\sf =7x=35$

$= \sf x=\dfrac{35}{7}$

$= \sf x=5$

Therefore the value of x is 5

Then, substituting their values,

Present age of Ram = 3x = 3 × 5

Present age of Ram = 15 years

Present age of Shyam = 4x = 4 × 5

Present age of Shyam = 20 years

Therefore, the present ages of Ram and Shyam are 15 years and 20 years respectively.