Question

The ratios $105:126$ and $..............:18$ are equivalent .

Answer 1

Given that, $105:126and.............:18$ are equivalent.

Let assume the given blank is $\text{'}x\text{'}$.

So, ratios are $105:126andx:18$

Note : equivalent ratios are equal.

HCF of $105and126$is $7$.

So, divide $105and126$ by the HCF to get the remaining equivalent ratio.

It implies $\cancel{105}:\cancel{126}is15:18$ ( on dividing $105:126$by $7$, we get $15:18$)

Hence, $105:126and15:18$are equivalent.

Therefore, the answer for given blank is $15$.