Question

if the sum of two numbers is 30 and their ratio is 2/3 then find the number?

Answer 1

Sum of two number =30

Ratio = 2/3 => 2x + 3x. (Here x is a variable)

2x+3x=30

5x=30

x=30/5 => 6

So numbers are

2x= 2 x 6=> 12

3x= 3 x 6 => 18

So those two numbers are 12 and 18

Answer 2

Answer:

The required numbers are $12$ and $18$.

Step-by-step explanation:

Concept:

When using the cross multiplication approach, the denominator of the first term is multiplied by the numerator of the second term, and vice versa.

Given:

The Sum of numbers $=30$

Ratio of the numbers$=\frac{2}{3}$

To find:

We have to find the two numbers.

Solution:

Assume that one of the numbers be $x$.

The Sum of numbers $=30$

So the other number will be$= (30 - x)$

According to the condition, we have,

$\frac{x}{30-x}=\frac{2}{3}$

By using cross multiplication,

$3x=2(30-x)\\3x=60-2x\\3x+2x=60\\5x=60\\x=\frac{60}{5} \\x=12$

Now, the other number is,

$=30-x\\=30-12\\=18$

The required numbers are $12$ and $18$.

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