Question

Sum of two numbers are in the ratio 2:3 is 200 and differ by 80. Find the numbers.
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Answer 1

The numbers are 90 and 10.

Step-by-step explanation:

Let the two numbers are x and y.

It has been given that  sum of two numbers is 100. Hence, we have the equation,

x + y = 100 ..(i)

Now, the difference of these two numbers is 80. Thus, second equation is

x - y = 180...ii)

Add equation (i) and (ii)

x + y + x - y = 100 + 80

2x = 180

Divide both sides by 2

x = 90

Substitute this value in (i)

90 + y = 100

y = 100- 90

y = 10

Therefore, the numbers are 90 and 10.

Answer 2

Answer:

the two numbers are 80 and 120 for 2:3 respectively

Step-by-step explanation:

first. lets suppose 2:3 as 2x and 3x respectively

then, according to the question,

2x + 3x = 200

5x = 200

x = 200

       5

x=40

now substituting x with 40

2x = 2 X 40 = 80

3x = 3 X 40 = 120

HOPE THIS ANSWER IS USEFUL!!! ^_^   ^_^