Question

the ratio of two numbers is 2:3 when 4 is added to both the numbers the ratio become 3:4, what is the sum of numbers​

Answer 1

Answer:

Let their common ratio is x

then numbers will be 2x and 3x

when 9 is added to each they become (2x+9)and (3x+9)

so their ratio

(2x+9)/(3x+9)=3/4

8x+36=9x++27

x=36–27

x=9 so the original numbers will be

2x=2*9=18 and 3x=3*9=27

so their product will be

18*27=486

Step-by-step explanation:

Answer 2

Given:

The ratio of the two numbers = 2: 3

New ratio, after addition of 4 to both the numbers = 3: 4

To find:

The value so obtained after adding the two numbers.

Solution:

Let us represent the numbers by X.

The ratio of the numbers = 2 X: 3 X

The sum of the two numbers = 2 X + 3 X

After adding 4 to the two numbers, the new ratio becomes 3: 4.

Therefore,

$\frac{2 X + 4 }{ 3 X + 4}$ = $\frac{3}{4}$

After solving the above equation, we can get the value of X.

X= 4

The two numbers are;

2 X =(2 × 4 ) = 8

3 X = (3 × 4 )= 12

On adding the two numbers,

= 2 X + 3 X

= 8 + 12 = 20

Therefore, the sum of the numbers 8 and 12 is 20.