Question

x and y directly when x 6 y 16 find the value of y when x=12

Answer 1

Answer:

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(x−6)

Plugging x =8 and y =2

2+12=k(8−6)

14=2k ; k=7

The new equation is y+12=7(x−6)

Plugging y =16 in above equation.

⇒16+12 =7x−42

⇒7x=70

⇒x =10