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If 2q35 778 find q - JAMB Mathematics 2011 Question

If 2q35 = 778, find q
A
2
B
1
C
4
D
O
correct option: a
2q35 = 778

2 x 52 + q x 51 + 3 x 50 = 7 x 81 + 7 x 80

2 x 25 + q x 5 + 3 x 1 = 7 x 8 + 7 x 1

50 + 5q + 3 = 56 + 7

5q = 63 - 53

q = \(\frac{10}{5}\)

q = 2
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