Question

the difference between two positive integers is 50 and the ratio of these integers is 1 : 3.Find these integers​

Answer 1

Answer:

Step-by-step explanation:

Given :-

Difference between the two positive integers = 50

Ratio of those integers = 1 : 3

To Find :-

The Integers

Solution :-

let the 1st positive integers be x.

And the 2nd positive integers be 3x.

According to the Question,

⇒ 3x - x = 50

⇒ 2x = 50

⇒ x = 50/2

⇒ x = 25

1st positive integer = x = 25

2nd positive integer = 3x = 3 × 25 = 75

Answer 2

Question :---- we have to Find both integers .

Given :--- Difference between them is 50 and their ratio is 1 : 3 ...

$\green{\bold{\underline{\underline{Step\:by\:step\:explanation:}}}}$

$\red{\bold{</strong><strong>Let</strong><strong>\</strong><strong>:</strong><strong>both</strong><strong>\</strong><strong>:</strong><strong>the</strong><strong>\</strong><strong>:</strong><strong>numbers</strong><strong>\</strong><strong>:</strong><strong>be</strong><strong>\</strong><strong>:</strong><strong>x</strong><strong>\</strong><strong>:</strong><strong>and</strong><strong> </strong><strong>\</strong><strong>:</strong><strong>3x</strong><strong>}}$

A/q,

3x - x = 50

2x = 50

x = $\huge{\frac{</strong><strong>5</strong><strong>0</strong><strong>}{</strong><strong>2</strong><strong>}}$ = 25

so,

The numbers be ===

x = 25

3x = 75 ..

$\large\</strong><strong>p</strong><strong>u</strong><strong>r</strong><strong>p</strong><strong>l</strong><strong>e</strong><strong>{\boxed{\sf </strong><strong>Hence\</strong><strong>:</strong><strong>the\</strong><strong>:</strong><strong>required\</strong><strong>:</strong><strong>numbers\</strong><strong>:</strong><strong>are\</strong><strong>:</strong><strong>2</strong><strong>5</strong><strong>\</strong><strong>:</strong><strong>and\</strong><strong>:</strong><strong>7</strong><strong>5</strong><strong>}}$