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Tuesday, 03 March 2026
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If 2\(_9\) x (Y3)\(_9\) = 3\(_5\) x (Y3)\(_5\), find the value of Y.

If 2\(_9\) x (Y3)\(_9\) = 3\(_5\) x (Y3)\(_5\), find the value of Y.
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  • A 4
  • B 3
  • C 2
  • D 1
Correct Answer: Option D
Explanation:
The correct answer is 1.
PROVE==> (2x9\(^0\)) (3x9\(^0\) + Yx9\(^1\)) = (3x5\(^0\))(3x5\(^0\) + Yx5\(^1\)).
You multiply to get 2(3+9Y)=3(3+5Y).
You further multiply to get 6+18Y=9+15Y. ==>
Collect like terms 18Y-15Y=9-6.
3Y/3=3/3.
Y=1
Credit: endowednuel

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