Find a number which has the same ratio to 32 as 18 has to 24-

Question

Toppr Admin · Accepted Answer

Let the number be -x-Ratio of -x- to -32- is -x-32-dfrac-x-32-Ratio of -18- to -24- is -18-24-dfrac-18-24-dfrac-3-4-Given -x-32-18-24-implies -dfrac-x-32-dfrac-3-4-implies x-dfrac-3-4-times 32-implies x-3-times 8-implies x-24-

Find a number which has the same ratio to $$32$$ as $$18$$ has to $$24$$.

Let the number be $$x$$
Ratio of $$x$$ to $$32$$ is $$x:32=\dfrac{x}{32}$$
Ratio of $$18$$ to $$24$$ is $$18:24=\dfrac{18}{24}=\dfrac{3}{4}$$
Given $$x:32=18:24$$
$$\implies \dfrac{x}{32}=\dfrac{3}{4}$$
$$\implies x=\dfrac{3}{4}\times 32$$
$$\implies x=3\times 8$$
$$\implies x=24$$

Find a number which has the same ratio to $$32$$ as $$18$$ has to $$24$$.

Let the number be $$x$$Ratio of $$x$$ to $$32$$ is $$x:32=\dfrac{x}{32}$$Ratio of $$18$$ to $$24$$ is $$18:24=\dfrac{18}{24}=\dfrac{3}{4}$$Given $$x:32=18:24$$$$\implies \dfrac{x}{32}=\dfrac{3}{4}$$$$\implies x=\dfrac{3}{4}\times 32$$$$\implies x=3\times 8$$$$\implies x=24$$

Let the number be $$x$$
Ratio of $$x$$ to $$32$$ is $$x:32=\dfrac{x}{32}$$
Ratio of $$18$$ to $$24$$ is $$18:24=\dfrac{18}{24}=\dfrac{3}{4}$$
Given $$x:32=18:24$$
$$\implies \dfrac{x}{32}=\dfrac{3}{4}$$
$$\implies x=\dfrac{3}{4}\times 32$$
$$\implies x=3\times 8$$
$$\implies x=24$$