Question

the ages of Sonal and Manoj are in the ratio 7:5 ten years hence the ratio of their ages will be 9 ratio 7 find their present ages

Answer 1

first
let be the sonal age= 7x
and manoj=5x
(beacause its given 7:5)

after 10 years age will be
sonal=9x
manoj=7x
( so, sonal ages changes 9x-7x=2x in 10 years)
now divide (10÷2=5)
so x=5

now put in question
sonal age = 7x (means 7×5=35)
manoj age= 5x (means 5×5=25)

after 10 years ratio will be 9:7
so on 9×5=45
nd 7×5= 35.

if u hv still any problem then comment.

Answer 2

Answer:

The Present ages are -

Sonal = 35 years

Manoj = 25 years

Step-by-step explanation:

Given :

Ages of Sonal and Manoj are in Ratio = 7 : 5

Ratio after 10 Years = 9 : 7

To Find :

Their present Ages

Solution :

Let the present Ages be -

• Sonal as 7x
• Manoj as 5x

$\rule{300}{1.5}$

➡ (7x + 10)/(5x + 10) = 9/7

➡ 7(7x + 10) = 9(5x + 10)

➡ 49x + 70 = 45x + 90

➡ 49x - 45x = 90 - 70

➡ 4x = 20

➡ x = 20/4

➡ x = 5

$\rule{300}{1.5}$

Manoj's age =

➡ 5 × 5

➡ 25

$\rule{300}{1.5}$

Sonal's age =

➡ 7 × 5

➡ 35

$\therefore$ The Present ages are -

• Sonal = 35 years
• Manoj = 25 years