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The sum of two numbers is twice their difference. If the difference of the numbers...

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)
x-y = p......(ii)
2x = 3p
x = 3p/2

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Contributions (16)

adeniyi5370
6 years ago
x+y=2p..(1) x-y=p..(2)

from eqn 1.. y=2p-x substitute 'y' into eqn 2 x-2p+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..
Kizzy
1 month ago
let the number be a and b
therefore
a+b=2p.......(1)
a-b=, p......(2)
(eliminate , get the value of b)
2b=p
b=p/2
(subtitute b=p/2 in equation 2)
a-p/2=p
(find the LCM of dinominator and multiply althrough)
2a-p=2p
collect like term
2a=3p
divide althrough by the coeficient of a
a=3p/2
therefore 3p/2 is the larger number
adeniyi5370
6 years ago
x+y=2p..(1) x-y=p..(2)


from eqn 1.. y=2p-x substitute ''y'' into eqn 2 x-2p+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..
Johnny95
6 years ago
correct
VicMaths13
6 years ago
Let the numbers be x and y.

From the first statement: x y=2(x-y)

where x-y= p.......................(1)

Therefore x y=2p ............ (2)

equation 1 divide 2

2x=3p

x=3p/2 ans
fasanya adeola
6 years ago
correct.
philip78
5 years ago
I got 3p/2
Gen4live
2 years ago
correct bro
Walicious
5 years ago
correct..thumbs up
Bobouche
3 years ago
Same tin for me ooooooo.... X=3p/2
ncdonald
5 years ago
X y =2p.....(equ.1)

x- y = p ..........(equ.2)

making y the subject from equ.1

y =2p-x.

Substituting y into (lets say) eq.2

x-2p-x =p

2x = 3p

x = 3p/2

to find y....substitute the value of x into equation(1)

3p/2 y = 2p

y = 2p-3p/2

4p-3p/2

p/2.

So therefore, y=p/2 and x= 3p/2(which is the biggest).
yaxboy02
6 years ago
X + Y = 2t ........... equation1

X - Y = t ........... equation2



add equation 1$2 since X is the biggest number



2X = 3t



divide both side by 2



X = 3t/2
jerrysco
6 years ago
correct

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