6 years back the age of rajuwas 3 times the age of jacob.after 4years the age of raju becomes twice the age of jacob.find the age of two of them now
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Answer:
present Raju age - 36
present Jacob age - 16
Step-by-step explanation:
let Rajus present age be x and Jacobs present age be y
6 years earlier their age would be
(x-6) (y-6)
according to eqn
(x-6)=3(y-6)
x-6=3y-18
x-3y= -18+6
x-3y = -12 (i)
4 yrs later their age would be
(x+4) (y+4)
according to eqn
x+4 = 2(y+4)
x+4 = 2y + 8
x-2y = 8-4
x-2y = 4 -(ii)
subtracting (i) and (ii)
x -3 y = -12
x - 2y = 4
- + -
-y = -16
y= 16
substituting y=16 in (ii)
x - 2(16) = 4
x -32 = 4
x = 36
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