Question

15. The difference between two positive integers is 30. The ratio of these integers is
2:5. Find the integers.
​

Answer 1

Step-by-step explanation:

Let be the 1st integer=2x

2nd integer=5x

By Question,

5x-2x=30

3x=30

x=30/3

x=10

Hence, the 1st integer=2×10=20

2nd integer =5×10=50

Answer 2

Given :-

The difference between two positive integers = 30

Ratio of the two integers = 2 : 5

To Find :-

The first integer.

The second integer.

Analysis :-

Consider the common ratio as a variable.

Multiply that variable to each of the integer given in the ratio.

Make an equation accordingly and find the value of the variable.

Substitute the value of the variable in the two integer and find it's value too.

Solution :-

Let the common ratio be 'x'. Then the integers would be 2x and 5x respectively.

Making an equation,

5x - 2x = 30

3x = 30

Finding x,

x = 30/3

x = 10

Substituting their values,

First integer = 2x

= 2 × 10 = 20

Second integer = 5x

= 5 × 10 = 50

Therefore, the two integers are 20 and 50 respectively.