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QUESTION
Q
If the average of x, x − 8, x + 2 and 4x + 4 is 10, then the product of the numbers is ?

If the average of x, x − 8, x + 2 and 4x + 4 is 10, then the product of the numbers is ?

A

10560

B

−10560

C

2688

D

−2688

E

None of these

A

10560

B

−10560

C

2688

D

−2688

E

None of these

Solution

Sum of the numbers is = 10 × 4 = 40 x + (x − 8) + (x + 2) + (4x + 4) = 40 7x − 2 = 40 Therefore, x =...

Sum of the numbers is = 10 × 4 = 40

x + (x − 8) + (x + 2) + (4x + 4) = 40

7x − 2 = 40

Therefore, x = 42/7 = 6

Product of the numbers is

= (x) (x − 8) (x + 2) (4x + 4)

= (6) (6 − 8) (6+ 2) (24 + 4)

= (6) (−2) (8) (28)

= −2688

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Solution

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