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Q. There are some four-wheelers and six-wheelers in a garage. The total number of wheels of these vehicles is 120 . The number of four-wheelers is $3 / 2$ times the number of six-wheelers. Find the number of sixwheelers in the garage.

Linear Equations

Solution:

Let the number of six-wheelers be $x$.
$\therefore \text { The number of four-wheelers }=\frac{3}{2} x $
$6 x+\frac{3}{2} x \times 4=120$
$6 x+6 x=120 \Rightarrow 12 x=120 $
$x=10$
$\therefore$ The number of $\operatorname{six}$ wheelers $=10$