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MATHEMATICS

JAMB 2000 - Question 7

Mathematics 2000 JAMB Past Questions - Question 7: If 31410 - 2567 = 340x , find x.

If 31410 - 2567 = 340x , find x.

A: 7

B: 8

C: 9

D: 10

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Correct Answer

Explanation

31410−2567 = 340xConvert 2567 and 340x to base 10, such that:314 - 139 = 3x2 + 4x=> 3x23x2 + 4x - 175 = 0 (quadratic)Factorising, (x - 7) (3x + 25) = 0,either x = 7 or x = -25/3 ( but x cannot be negative)Therefore, x = 7.