Question

the difference between two positive integers is 30 the ratio of these integers are 2:5 find the integers

Answer 1

Let 1st number=5x

2nd number = 2x

According To The Question

5x - 2x = 30

3x = 30

x = 30 ÷ 3

x = 10

Hence,

1st number = 5×10=50

2nd number= 2×10=20

Answer 2

Hey There!

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Solution:

Let the two numbers be in the ratio 2x : 5x

According to the question it has been said that 2 positive integers give the difference of 30.

So as the difference is a positive integer this means that:

1st integer > 2nd Integer

So, that means 5x is greater than 2x and 2x is subtracted from 5x

Therefore,

5x - 2x = 30
3x = 30
x = 30/3
x = 10

So, greater number is 5x that is 5(10) = 50
Smaller number is 2x that is 2(10) = 20

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Hope this helps!