The ages of Hari and Harry are in the ratio 5:7. four years from now the ratio of their ages will be 3:4 . find their present ages
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Let the common ratio between their ages be x. Therefore, Hari's age and Harry's age will be 5x years and 7x years respectively and four years later, their ages will be (5x + 4) years and (7x + 4) years respectively. Therefore, Hari's age and Harry's age are 20 years and 28 years respectively.
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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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