Question

the age of ramya and Sonia are in the ration of 5:2 after 5 years their age will be in the ratio of 15:7 find theirs present age​

Answer 1

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Ratio of age of Ramya and Sonia =5:2

let age of Ramya =5x

and age of Sonia=2x

After 5 years

age of Ramya =5x+5 years

age of Sonia =2x+5 years

as the question ratio of age of Ramya and sonia =15:7

as the question after 5 years age of Ramya=15x years

after 5 years age of Sonia =7x

according to the question,

15x=5x+5

or,15x-5x=5

or,10x=5

or,x=1/2

therefore age of Ramya=1/2×5=2.5 years

and age of Sonia=1/2×2=1 years

Answer 2

Step-by-step explanation:

Let present age of Ramya and Sonia be 5x and 2x respectively.

After 5 years,

Age of Ramya = (5x+5) years

Age of Sonia = (2x+5) years

Therefore, ratio of their ages after 5 years is

5x+5/7x+5

According to the question,

5x+5/7x+5 = 15/7

(5x+5)7 = (2x+5)15 [by cross multiplication]

35x+35 = 30x + 75

35x-30x = 75-35 [By transposition]

5x = 40

x = 40/5

x = 8.

Therefore,

Ramaya's present age = 5x

= 5×8 = 40 years.

Sonia's present age = 2x

= 2×8 = 16 years.

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