Question

The average age of P and Q is 28 years.
The ratio of their ages is 5:2. What will be
the ratio of their ages after 4 years?

Answer 1

Answer:

Step-by-step explanation:

Answer 2

Answer:

11:5

Step-by-step explanation:

Given :The average age of P and Q is 28 years.

           The ratio of their ages is 5:2.

To Find:  What will be  the ratio of their ages after 4 years?

Solution:

The ratio of their ages is 5:2.

Let the ratio be x

P's age = 5x

Q's age = 2x

The average age of P and Q is 28 years.

So, $Average =\frac{\text{Sum of ages}}{\text{No. of people}}$

$28 =\frac{5x+2x}{2}$

$28 \times 2 =5x+2x$

$56 =7x$

$\frac{56}{7} =x$

$8=x$

So, P's age = 5x = $5 \times 8 = 40$

Q's age = 2x= $2 \times 8 = 16$

After 4 years

P's age =40+4=44 years

Q's age =16+4 = 20 years

Ratio of ages after 4 years = $\frac{44}{20} =\frac{22}{10}=\frac{11}{5}$

So, the ratio of their ages after 4 years is 11:5