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Question

The value of y increased by 12 is directly proportional to the value of x decreased by 6. If y=2 when x=8, find the value of x when y=16.

A
9
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B
10
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C
16
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D
20
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E
28
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Solution

The correct option is B 10
As given y is directly proportional to x. i.e: y=kx for some constant k.
According to question, if the value of y is increased by 12 is proportional to the value of x decreased by 6.
i.e: y+12=k(x6)
Plugging x =8 and y =2
2+12=k(86)
14=2k ; k=7
The new equation is y+12=7(x6)
Plugging y =16 in above equation.
16+12 =7x42
7x=70
x =10
Hence, option B is correct.

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