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If a( a + 2) = 24

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boomgoesthegmat Senior | Next Rank: 100 Posts Default Avatar
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If a( a + 2) = 24

Post Wed May 04, 2016 4:42 am
If a( a + 2) = 24 and b( b + 2) = 24, where a does not equal b, then a + b =

A) -48
B) -2
C) 2
D) 46
E) 48

OA: B

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Top Reply
Post Wed May 04, 2016 5:42 am
boomgoesthegmat wrote:
If a( a + 2) = 24 and b( b + 2) = 24, where a does not equal b, then a + b =

A) -48
B) -2
C) 2
D) 46
E) 48

OA: B
Given: a(a + 2) = 24
Expand: a² + 2a = 24
Rearrange: a² + 2a - 24 = 0
Factor: (a + 6)(a - 4) = 0
So, a = -6 OR a = 4

Given: b(b + 2) = 24
Expand: b² + 2b = 24
Rearrange: b² + 2b - 24 = 0
Factor: (b + 6)(b - 4) = 0
So, b = -6 OR b = 4

Since we're told that a ≠ b, we know that one value (a or b) is -6 and the other value is 4
So, a + b = (-6) + 4 = -2

Answer: B

Cheers,
Brent

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