ten years hence Rahul will be twice as old as sachin five years ago Rahul was thrice as old as sachin represent the above statements by two linear equations in two variables??
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let the age of Rahul be x.
Sachin age be y.
ten years hence,
Rahul age will =x+10
sachin age will =y+10
x+10=2(y+10)
x+10=2y+20
x-2y-10 equation 1
five years ago,
Rahul age was x-5
sachin age was y-5
x-5=3(y+5)
x-5=3y+15
x-3y-20. equation 2
subtract equation 1 from 2
x-3y-20 - ( x-2y-10)
x-3y-20-x+2y+10
-y=-10
y= 10
put the value of y into equation 1
x-2*10-10
x-20 -10
x-30
x=30
hence Rahul age is 30 years and sachin age is 10 yeara
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