The ratio is used for comparing two quantities of the sane kind.
The ratio formula for two numbers says a and b is given by a:b or a/b. When two or more such ratios are equal, they are said to be in proportion.
The concept of ratio and proportion is majorly based on ratios and fractions.
Solution:
From the question it is given that,
Two numbers are in the ratio $7:10.$
Let us assume the two numbers be $7y$ and $10y.$
Then, $\left( 7y+8 \right)/\left( 10y\times 8 \right)={}^{3}/{}_{4}$
$28y+32=30x+24$
$2y=8$
$y=8/2$
$y=4$
So, $7y=7\times 4=28$
$10y=10\times 4=40$
Therefore, the two numbers are $28$and $40.$