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If 55x 52x 7710 find X - JAMB Mathematics 2009 Question

If 55x + 52x = 7710 find X
A
5
B
6
C
7
D
10
correct option: c
5*X1 + 5*Xo + 5*X1 + 2*Xo = 77 (change to base 10)
5*X + 5*1 + 5*X + 2*1 = 77
5X + 5 + 5X + 2 = 77
10X + 7 = 77
10X = 77-7
10X = 70
X = 70/10
X = 7
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