Question

the age of Sonal and Manoj are in the ratio 7 ratio 5 .10 year hence , the ratio of their ages will be 9 ratio 7 find their present age​

Answer 1

Answer:

Step-by-step explanation:

Sonal's age is 7x + 10 and Manoj's age is 5x + 10

Therefore, ratio of their age = 7x+10 : 5x+10

Given:

7x+10 : 5x+10 = 9:7

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

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

49x + 70 = 45x + 90

4x = 20

x = 5

Therefore, present age of Sonal = 7x = 7 * 5 = 35 years 

and present age of Manoj = 5x = 5 * 5 = 25 years

Answer 2

Step-by-step explanation:

Let7:5=7x:5x

10 years hence age=7x+10/5x+10

Let9:7=9:7

Equation is =7x+10/5x+10=9:7

By cross multiplication

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

=49x+70=45x+90

=49x-45x=90-75

=4x=20

=x=20/4

=x=5

Present age of sona=7x=7×5=35 years

Present age of Manij=5x=5×5=25 years

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