Question

Difference between two positive integers is 40.The integers are in
the ratio 2:3 then find the integers.

Answer 1

Question:-

Difference between two positive integers is 40.The integers are in the ratio 2:3 then find the integers.

Answer:-

• The numbers are 80 and 120

To find:-

• The numbers

Solution:-

• Difference = 40
• Ratio = 2:3

Let,

• First number = 2x
• Second number = 3x

According to question,

$\large{ \sf : \implies \: \: \: \: \: \: \: 3x - 2x = 40}$

$\large{ \sf : \implies \: \: \: \: \: \: \: x = 40}$

Now,

• First number = 2x = 80
• Second number = 3x = 120

Hence,

The numbers are 80 and 120 respectively.

Answer 2

Solution :

Here, given that

• Difference between two positive integers is 40
• Integers in ratio = 2 : 3

We've to find those numbers.

Steps :

Let

• First integer = 2x
• Second integer = 3x

• Now, according to question :

=> 3x - 2x = 40

=> x = 40

Put the value of x in the ratio

• First integer = 2x = 2(40) => 80
• Second integer = 3x = 3(40) = 120

Hence, the integers are 80 and 120 respectively.