## The age of Aman and Saumya are in the ratio of 5:7. Four years later their age will be in the ratio of 3:4. Find their present age.

Question

The age of Aman and Saumya are in the ratio of 5:7. Four years later their age will be in the ratio of 3:4. Find their present age.

in progress 0
1 month 2021-08-18T02:59:24+00:00 2 Answers 0 views 0

1. Let the age of the of Aman ne 5x and saumya ne 7x

After four years later the age = 5x +4 and 7x+4

Age= 5x+4 =7x+4

Now, (5x+4)×4=(7x+4)×3

20x-16 =21x+12

now 21x-20x=16-12

x=4

5x= 5×4=20 and 7x=7×4=28

so the present age of Aman is 20 years and age of saumya is 28 years

Let the rational between ages of Aman and Saumya be x

The ages of Aman and Saumya are in the ratio 7:5.

Thus there ages are, Aman 7x and saumya 5x

Ten years hence, the ratio of their ages will be 9:7.

10 year hence their ages will be

Leena’s age 7x + 10

Heena’s age 5x + 10

The ratio of their ages

7x + 10 / 5x + 10 = 9 / 7

Cross multiplication

9 ( 5x + 10 ) = 7 ( 7x + 10 )

45x + 90 = 49x + 70

45x – 49x = 70 – 90

—5x = -20

5x = 20

x = 20/5

x = 4

The rational is 4

Their respective ages

Aman’s age 7x = 7 × 4 = 28 years

Saumya’s age 5x = 5 × 4 = 20 years