Rashid is 20 years older than Zahid. One third of Rashid’s age equal half of Zahid’s. Their ages are:
Answer: 60, 40
Explanation
Let the age of Rashid be x and Zahid be y.
A. to the 1st condition;
x-20=y
therefore
x-y=20---(i)
A. 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
*****
ND04-12-2022
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