Question

Find the numbers.
The difference between two positive integers is 50 and the ratio of these integers is 1:3. Find these
integers.
The of the digits of two dicit uberia 7 The number obtained hintonal
1​

Answer 1

• The first positive integer = 25.
• The second positive integer = 75.

Given :–

• The difference between two positive integers = 50.
• The ratio of these integers = 1 : 3.

To Find :–

• The integers.

Solution :–

Let,

The first positive integer be 1x.

The second positive integer be 3x.

According to the condition,

The difference between two positive integers is 50.

I.e.,

First positive integer – Second positive integer = 50

$\mapsto \sf 3x - 1x = 50$ ––––(1)

Now, solve this.

$\mapsto 3x - 1x = 50$

$\mapsto 3x - x = 50$

$\mapsto 2x = 50$

$\mapsto x = \cancel \dfrac{50}{2}$

$\mapsto x = 25$

So, the positive integers are :

First positive integer = 1x = 1 × 25 = 25.

Second positive integer = 3x = 3 × 25 = 75.

Hence,

The integers are 25 and 75.

Verification :–

Substitute both the positive integers in equation (1),

$\mapsto 3x - 1x = 50$

We have,

• 3x = 75.
• 1x = 25.

$\mapsto 75 - 25 = 50$

$\mapsto 50 = 50$

Hence Verified ! !