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If 55\(_x\) + 52\(_x\) = 77\(_{10}\) find X

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Mathematics JAMB 2009

If 55\(_x\) + 52\(_x\) = 77\(_{10}\) find X

  • 5
  • 6
  • 7 checkmark
  • 10

The correct answer is: C

Explanation

5 \(\times\) x\(^1\)  + 5 \(\times\) x\(^0\) + 5 \(\times\) x\(^1\) + 2 \(\times\) x\(^0\) = 77

(change all  to base 10)
5x + 5 + 5x + 2 = 77
10x + 7 = 77
10x = 77-7
10x = 70
x = 70/10
x = 7

There is an explanation video available .

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