Math, asked by lirenilotha4, 7 months ago

varsha is 15 tears older than prateek. after 10 years varsha age will be 15 years less than twice the age of prateek at that time. find the present age for varsha​

Answers

Answered by Kayitisarah6
9

Hey friend here is your answer :

Varsha is 15 years older than Prateek.

Let the present age of Prateek  be x, thus the present age of Varsha is x + 15

10 years ago, Varsha was four times Prateek’s age.

10 years ago their ages were Prateek’s age x - 10 and Varsha's age x + 15 - 10 = x + 5

x + 5 = 4 (x - 10)

x + 5 = 4x - 40

x - 4x = -40 - 5

-3x = -45

3x = 45

x = 45/3

x = 15

This Prateek's present age is 15 years

Therefore Varsha's present age x + 15 = 15 + 15 = 30 years

Their present ages are Varsha's age 30 years and Prateek's age 15 years.

Answer: Their present ages are Varsha's age 30 years and Prateek's age 15 years.

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