Question on: JAMB Mathematics - 2009

If 55x + 52x = 7710 find X

A
5
B
6
C
7
D
10
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Correct Option: C

5X1 + 5Xo + 5X1 + 2Xo = 77 (change to base 10)

5X + 51 + 5X + 21 = 77

5X + 5 + 5X + 2 = 77

10X + 7 = 77

10X = 77-7

10X = 70

X = 70/10

X = 7

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