Question

divide 120 in the ratio 3:5​

Answer 1

Answer:

Ratio is  comparison of two  quantities

 let us consider the ratio of a number ' a'   to another number ' b ' as a fraction a/b  ( where b ≠ 0) and it is written a : b ,

here the first term a is called antecedent and the second term is called consequent.

according to question we need to divide 120 in the ratio 3 : 5

finding the sum of ratios,

$3x + 5x = 120$

$8x = 120$

$x = 15$

substituting value of $x$ for $3x$ we get,

$3x = 3 (15 )$

   = 45

similarly for $5x$ we get,

$5x = 5 (15)$

    = 75

hence 120 can divide in the ratio 3 : 5 as 45 and 75.

Answer 2

Here, we have to divide $120$ in the ratio $3:5,$

Let, the two ratio be $3x$ and $5x,$

Therefore,

$=>3x+5x=120$

By adding both like term,

$=>8x=120$

$=>x=\frac{120}{8}$

$=>x=15$

The two ratios are $3x$ and $5x,$

$=>3x=3(15)=45\\=>5x=5(15)=75$

Hence, the ratios are 45 and 75.