Question

119. The difference between two positive integers is 36. The quotient, when one integer is divided by the other is 4. Find the two integers:​

Answer 1

Answer:

Let one of the integers be x.

The difference between the two integers is 36.

∴ The other integer = x – 36.

According to the given condition,

⇒ x = 4 (x – 36) (Transposing x – 36 to RHS)

x = 4x – 144 (Removing bracket)

⇒ x – 4x = -144 (Transposing 4x to LHS)

-3x = -144

⇒ x =

(Transposing – 3 to RHS)

x = 48

The two integers are

x = 48

x – 36 = 48 – 36 = 12

∴ The two positive integers are 12 and 48.

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Answer 2

$\huge\sf\fbox\purple{ ♡ Solution ♡ }$

★ Explanation ★

Let number be n , n > 0

Difference between possitive integers =36

Another number be n − 36

Quotient when one is divided by another =4

n − 36

n = 4

n = 4n − 144

3n = 144

n = 48

∴ 48 , 12 are the two positive integers.