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. fond their present age.
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Step-by-step explanation:
let age of Hari be x years
let age of Harry be y years
given ratio of their ages is 5:7
thus x:y=5:7 (or)
x/y=5/7 ----••• equation 1
four years from now
age of hari= x+4
age of Harry=y+4
Ratio is now 3:4
thus x+4 / y+4 = 3/4
cross multiply
4x+16=3y+12
4x+4=3y ( but from equation 1; x=5y/7 )
4(5y/7)+4=3y
20y/7+4=3y
4=3y-20y/7
4=21y-20y/7
4=y/7
so y = 28 years
and x=5*28/7=20 years
so present ages of Hari and Harry are 28 and 20 years respectively
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