Question

Q.5) The age of Hari and Harry are in the ration 5:7. After two years the sum of their age will be 52 years. Find their present ages.

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Answer 1

Step-by-step explanation:

The ratio of Hari's and Harry's present ages is 5:7

So, let their ages be 5x and 7x

After 4 years their ages will be in ratio 3:4

Therefore,(5x+4)/(7x+4)=3/4

or, 4(5x+4)=3(7x+4)

or, 20x+16=21x+12

or, 16−12=21x−20x

or, 4=1x

or, x=4

Therefore, present age of Hari = 5x=(5×4)=20 years.

Present age of Harry =7x=(7×4)=28 years

The sum of their age is 28+20=48years.

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Answer 2

Answer:

The ratio of ages of hari and Harry = 5:7

After two years the sum of their ages = 52

The present age = 5x+2+7x+2 = 52

= 12x+4 = 52

= 12x = 48

= x = 48/12

= x = 4

therefore,Hari age = 5(4)+2 = 22years

Harry age = 7(4)+2 = 30years