Math, asked by js4137900, 3 days ago

the sum of the ages of avtar and gaurav is 70 years.avtar is 4 years older than harinder.the ratio of the ages of gaurav and harinder is 5:6.what was the age of avtar 5 years ago

Answers

Answered by kausturi1
8

Answer:

35

Step-by-step explanation:

Let the age of Avatar, Gaurav and Harinder is A,G and H.

Then, A+G = 70

or, G = 70-A

And H+4 = A

or, H = A-4 (ii)

And, G/H = 5/6 (iii)

By putting the value of H and G from (i) and (ii) in (iii).

Means, 70-A/A-4 = 5/6

or, 6×(70-A) = 5×(A-4)

or, 420-6A = 5A-20

or, 420+20 = 5A+6A

or, 440 = 11A

or, 11A = 440

or, A = 440/11 = 40 years

Present age of Avatar is 40 years.

Hence, age of Avatar before 5 years was 40-5 = 35 years

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