Question 9

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waecmaths question: 

The sum of 2 consecutive whole numbers is $\tfrac{5}{6}$ of their product. Find the numbers

Option A: 

3,4 

Option B: 

1,2

Option C: 

2, 3

Option D: 

0,1

waecmaths solution: 

$\begin{align}  & \text{Let the number be }(x-1)\text{ and }x \\ & \tfrac{5}{6}(x-1)x=x+(x-1) \\ & \tfrac{5}{6}({{x}^{2}}-x)=2x-1 \\ & 5{{x}^{2}}-5x=12x-6 \\ & 5{{x}^{2}}-17x+6=0 \\ & 5{{x}^{2}}-15x-2x-6=0 \\ & 5x(x-3)-2(x-3)=0 \\ & (5x-2)(x-3)=0 \\ & x=3\text{ or }x=\tfrac{2}{5} \\\end{align}$

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