# Rashid is 20 year older than zahid. One third of rashid's age equals half of Zahid's. Find their ages

2
by aarijkhan63

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by aarijkhan63

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a/q 1/3(20+x)=x/2

on solving we get x=40

hence zahid is 40 yrs old and rashid is 40+20= 60 yrs old

Acc.to the 1st condition;

x-20=y

therfore

x-y=20---(i)

Acc. to the 2nd condition;

1/3x=1/2y

therefore

2x=3y

2x-3y=0----(ii)

Multiplying (i) by 2;

2x-2y=40---(iii)

Subtracting (ii) from (iii);

2x-2y=40

2x-3y=0

(-) (+) (-)

--------------

y=40

Substituting the value of y in (1)

x-y=20

x-40=20

x=60