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

Mathematics
JAMB 2009

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

  • A. 5
  • B. 6
  • C. 7
  • D. 10
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Correct Answer: Option 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 below.


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Explanation Video

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JAMB CBT Software 2025 - Free Download
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JAMB CBT 2025 - Candidates, Schools, Centres, Resellers - Get Ready!
WAEC Past Questions, Objective & Theory, Study 100% offline, Download app now - 127076
WAEC Past Questions, Objective & Theory, Study 100% offline, Download app now - 127076
JAMB CBT Mobile App 2025 - Free Download
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JAMB CBT 2025 - Candidates, Schools, Centres, Resellers - Get Ready!