Question

The difference between two positive integers is 50 and the ratio of these integers is 1.3. Find
these integers.
​

Answer 1

Given that,

The ratio between two positive integers is 50 and the ratio between them is 1 : 3

Let the two positive integer be x and 3x.

➡ 3x - x = 50

➡ 2x = 50

➡ x = 50/2

➡ x = 25

Hence, the two positive numbers are :-

• x = 25

• 3x = 3 × 25 = 75

VERIFICATION :-

LHS :-

= 3x - x

= 75 - 25

= 50

RHS :-

= 50

LHS = RHS. Hence verified!

Answer 2

Answer:

The numbers are 25 and 75.

Step-by-step explanation:

Gívєn -

Difference between the two positive integers = 50

Ratio of the Numbers = 1 : 3

Tσ fínd -

The Numbers

Sσlutíσn -

Let the Numbers be as -

• One Number as 1y
• Second Number as 3y

$\sf{\implies} \: 3y - y = 50$

$\sf{\implies} \: 2y = 50$

$\sf{\implies} \: y = \dfrac{50}{2}$

$\sf{\implies} \: y = 25$

First Number = 25

$\rule{300}{1.5}$

$\textbf{Second Number -}$

$\sf{\implies} \: 3(25)$

$\sf{\implies} \: 75$

Second Number = 75

$\therefore$ The numbers are 25 and 75.

$\rule{300}{1.5}$

Vєrífícαtíσn -

Check their difference is 50 or not.

$\sf{\implies} \: 75-25=50$

$\sf{\implies} \: 50=50$

$\therefore$ The numbers are 25 and 75.