The sum of two numbers is twice their difference. If the difference of the numbers is P, find the larger of the two numbers

A.
p/2

B.
3p/2

C.
5p/2

D.
3p
Correct Answer: Option B
Explanation
Let the numbers be x and y
x+y = 2p.....(i)
xy = p......(ii)
2x = 3p
x = 3p/2
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6 years ago
from eqn 1.. y=2px substitute 'y' into eqn 2 x2p+x=p.. therefore x=3p/2
substitute value of x into eqn 1..so;
3p/2+y=2p therefore y=p/2
(x=3p/2 and y=p/2)..x is the greater number..