Question

Jaya and Vinay's combined age is 72 in the ratio 4:5. How old is Vinay?​

Answer 1

Answer:

40 years old

Step-by-step explanation:

Ratio between ages o Jaya and Vinay = 4:5

Let their ages be 4x and 5x respectively.

ATQ,

4x + 5x = 72

Or, 9x = 72

Or, x = 72/9 = 8

Thus, age of Vinay = 5x = 5*8 = 40 years old.

Answer 2

Answer:

Therefore ,

• Vinay's present age is 40 Years

Step-by-step explanation:

Step 1 :-

First try to understand it properly

Here, Given :-

• Jaya and Vinay's total age is 72 years .
• Ratio of their ages is 4:5 .

So, it's clear that we need to now Assume their ages .

Step 2 :-

Assume their ages from ratio

• Let age of Jaya be 4x .
• Let age of Vinay be 5x .

Now , after Assumption , we need to frame a Equation to solve it

Step 3 :-

Frame a equation to solve for X

A.T.Q ,

Here both of their assumed ages will be equal to 72

$\rm 4x+5x=72$

$\rm::\implies 9x=72$

$\rm::\implies x=\dfrac{72}{9}$

$\rm::\implies x=8$

Hence ,

• $\sf Jaya's\; age \;is \;4x\;=\;4\times8=32 \;years$
• $\sf Vinay's\; age\; is \; 5x\;=\;5\times8=40\;years$

$\sf \therefore Vinay's\; age\; is\bf\;40\;Years$

Verify :

In Question , it is given that both of their combined ages is 72 years.

Therefore ,

Jaya's age + Vinay's age = 72

$\rm\implies32 +40=72$

$\rm\implies72=72\;\dag$

Hence ,

Verified that our answer is correct .