Question

Durai's and Sravan's ages 6 years ago were in the ratio 3:5.
10 years hence, their age ratio will become 7:9. What is
Sravan's age after 5 years?
Select one:
a. 23
b. 21
C. 22
d. 24
SL​

Answer 1

Answer:

23

Step-by-step explanation:

this is the age of sravan

Answer 2

Given:

The ratio of ages 6 years ago=3:5

The ratio of ages 10 years hence=7:9

To find:

Sravan's age after 5 years

Solution:

Sravan's age after 5 years is 31 years.

Let the current age of Durai be x and that of Sravan be y.

Their ages 6 years ago=Current age-6

Durai's age 6 years ago=x-6

Sravan's age 6 years ago=y-6

The ratio of ages 6 years ago=(x-6):(y-6)

(x-6):(y-6)=3:5

5(x-6)=3(y-6)

5x-30=3y-18

5x-3y-12=0 (1)

Similarly, Durai's age 10 years hence=x+10

Sravan's age 10 years hence=y+10

The ratio becomes 7:9.

So, (x+10):(y+10)=7:9

9(x+10)=7(y+10)

9x+90=7y+70

9x-7y+20=0 (2)

Multiplying (1) by 7 and (2) by 3,

35x-21y-84=0

27x-21y+60=0

Subtracting these two equations,

35x-21y-84-27x+21y-60=0

8x-144=0

8x=144

x=18 years

From (1),

5(18)-3y-12=0

90-12=3y

78=3y

y=26 years

So, Sravan's age after 5 years=Sravan's current age+5

=y+5

=26+5

=31 years

Therefore, Sravan's age after 5 years is 31 years.