Question

Calculate the value of x:12:3:105(direct
proportions)
29. Calculate the value of y: 9:7::y:3 (Inverse
Proportions)

Answer 1

Given:

$a)\ x:12::3:105\\b) \ 9:7::y:3$

We have to find the value of$x\ and\ y$.

We are solving in the following way:

We have,

$a)\ x:12::3:105$

We can write the above equation as:

$=>\frac{x}{12}=\frac{3}{105}$

Solving the above equation further we get,

$=>105\times x=3\times 12\\=>105x=36\\=>x=\frac{36}{105} \\\\=>x=\frac{12}{35} \\\\=>x=0.3428$

And

$b) \ 9:7::y:3$

We can write the above equation as:

$=>\frac{9}{7} =\frac{y}{3}$

Solving the above equation further we get,

$=>9\times 3=y\times 7\\=>27=7y\\=>y=\frac{27}{7} \\\\=>y=3.85$

Hence, the value of$x\ and\ y$ is$0.34 \ and\ 3.85$.