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If 4(a – b) = 16, 8(a + b) = 64. Find the value of ab.

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If 4(a – b) = 16, 8(a + b) = 64. Find the value of ab.
1). 0
2). 1
3). 2
4). 8


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Answered by on | Votes 1 |

We know that 4(a – b) = 16, 8(a + b) = 64

⇒ 22(a – b) = 24

⇒ 23(a + b) = 26

2a – 2b = 4 and 3a + 3b = 6

⇒ a – b = 2, a + b = 2

On solving, a = 2, b = 0

∴ ab = 20 = 1

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