Question 1

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waecmaths question: 

If ${{23}_{x}}+{{101}_{x}}={{130}_{x}}$Find the value of x

Option A: 

7

Option B: 

6

Option C: 

5

Option D: 

4

waecmaths solution: 

$\begin{align}  & {{23}_{x}}+{{101}_{x}}={{130}_{x}} \\ & \text{Convert both sides to base ten system} \\ & (2x+3)+({{x}^{2}}+0+1)=1\times {{x}^{2}}+3\times x+0 \\ & 2x+3+{{x}^{2}}+1={{x}^{2}}+3x \\ & {{x}^{2}}+2x+4={{x}^{2}}+3x \\ & x=4 \\\end{align}$

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