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If 23x + 101x = 130x, find the value of x

Mathematics
WAEC 2016

If 23x + 101x = 130x, find the value of x
  • A. 7
  • B. 6
  • C. 5
  • D. 4
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Correct Answer: Option D
Explanation
23x + 101x = 130x

2 x X1 + 3 x Xo + 1 x X2 + 0 x X1 + 1 x Xo

= 1 x Xo = 1 x X2 + 3 x X1 + 0 x Xo

= X2 + 3x + 0

2x + 3 = x2 + 0 + 1 + x2 + 3x

2x - 3x + x2 - x2 = -3 - 1

- x = -4

x = 4

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