Question

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

Answer 1

Answer: 75 and 25

Step-by-step explanation:

Let the 2 positive integers be x and 3x

3x-x = 50

2x = 50

x = 50/2

x = 25

first number ⇒ x ⇒ 25

second number ⇒ 3x ⇒ 3 x 25 = 75

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Answer 2

GivEn:

• The difference between two positive integers is 50.
• Ratio of these two positive integers 1:3.

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To find:

• Integers?

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Solution:

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☯ Let 1st integer be x.

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Therefore,

• 2nd Integer = (x + 50)

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$\boxed{\underline{\underline{\purple{\bigstar \: \bf\: According\:to\:the\: Question\:\bigstar}}}}$

• Ratio of these two positive integers 1:3.

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$:\implies\sf \dfrac{x}{x + 50} = \dfrac{1}{3}$

$:\implies\sf 3x = x + 50$

$:\implies\sf 3x - x = 50$

$:\implies\sf 2x = 50$

$:\implies\sf x = \cancel{ \dfrac{50}{2}}$

$:\implies{\boxed{\sf{\pink{x = 25}}}}\;\bigstar$

Therefore,

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• 1st integer, x = 25
• 2nd integer, (x + 50) = 25 + 50 = 75

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$\therefore$ Hence, Required two positive integers are 25 and 75.