Find the value of y if \(402_y = 102_{ten}\)
MATHEMATICS
JAMB 2023
Find the value of y if \(402_y = 102_{ten}\)
- A. 4
- B. 2
- C. 5
- D. 3
Correct Answer: C. 5
Explanation
\(402_y = 102_ten\)
⇒ 4 x y\(^2\) + 0 x y\(^1\) + 2 x y\(^0\) = 102
⇒ 4y\(^2\) + 0 + 2 x 1 = 102
⇒ 4y\(^2\) + 2 = 102
⇒ 4y\(^2\) = 102 - 2
⇒ 4y\(^2\) = 100
⇒ y\(^2 = \frac {100}{4}\)
⇒ y\(^2\) = 25
∴ y = √25 = 5
Post an Explanation Or Report an Error
If you see any wrong question or answer, please leave a comment below and we'll take a look. If you doubt why the selected answer is correct or need additional more details? Please drop a comment or Contact us directly. Your email address will not be published. Required fields are marked *