Question

If the sum of two numbers is 30 and their ratio is 2/3 then find the numbers​

Answer 1

sum of two numbers=30

sum of ratio=5

numbers =30/5

=6

=2*6,3*6

=12,18

Answer 2

Answer:

The two numbers are 12 and 18.

Step-by-step explanation:

Let the two numbers be x and y.

Given,

$x + y = 30 \: \: \: \: - eq \: 1 \\ \frac{x}{y} = \frac{2}{3} \\ = > 3x = 2y \\ = > 3x - 2y = 0 \: - eq \: 2$

Multiplying Eq 1 by 2,

2x + 2y = 60 -- Eq 3

Adding Eq 2 and Eq 3,

2x + 3x + 2y - 2y = 60 + 0

=> 5x = 60

=> x = 60/5 = 12

Substituting x = 12 in Eq 1,

12 + y = 30

=> y = 30 - 12 = 18