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MATHEMATICS

JAMB 2016 - Question 13

Mathematics 2016 JAMB Past Questions - Question 13: If x10 = 235. Find x

If x10 = 235. Find x

A: 15

B: 12

C: 14

D: 13

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Correct Answer

Explanation

xsup10 = 23sup 5= 2x5 + 3x510 +3 = 13To convert the number \(23_5\) to base 10, we use the following formula:\[23_5 = 2 \times 5^1 + 3 \times 5^0\]\[= 2 \times 5 + 3 \times 1\]\[= 10 + 3\]\[= 13\]Therefore, the number \(23_5\) is equal to 13 in base 10.