Question

The sum of two positive integers is 25. The integers are in the ratio 3:2. Find the integers.​

Answer 1

Question:-

The sum of two positive integers is 25. The integers are in the ratio 3:2. Find the integers.

Answer:-

• The numbers are 15 and 10

To find:-

• The two numbers

Solution:-

• Sum of integers = 25
• Ratio = 3:2

Let,

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

According to question,

$\large{ \tt : \implies \: \: \: \: \: \: \: \: \: 3x + 2x = 25}$

$\large{ \tt : \implies \: \: \: \: \: \: \: \: \: 5x = 25}$

$\large{ \tt : \implies \: \: \: \: \: \: \: \: \: x = \frac{25}{5} }$

$\large{ \tt : \implies \: \: \: \: \: \: \: \: \: x = 5}$

• The value of x is 5.

Now,

• First number = 3x = 15
• Second number = 2x = 10

Hence,

The numbers are 15 and 10 respectively.

Answer 2

15 and 10

Step-by-step explanation:

let one integer : 3x

let second integer : 2x

sum of integer =25

3x+2x = 25

5x = 25

x = 5

So one integer = 3 x 5 = 15

So second integer = 2 x 5 = 10