Question

6. The difference between two positive integers is 75. The ratio of these integers is 7: 4. Find
the integers.​

Answer 1

Answer:

7 = 175

4 = 100

Step-by-step explanation:

This is the correct answer

Hope this will help you

Answer 2

⛦ Given :

• Difference of two positive integer = 75
• The ratio of these integers is 7 : 4.

⛦ To find :

• The integers.

⛦ Solution :

Let's assume the two integers as :

• x
• y

A/Q

x - y = 75 (As per the question said)

Now,

↠ x : y = 7 : 4

↠ x/y = 7/4

↠ 4x = 7y (By cross multiplication)

↠ x = 7y/4

Thus,

↦ x - y = 75

↦ 7y/4 - y = 75

↦ 7y - 4y/4 = 75

↦ 3y/4 = 75

↦ 3y = 75 × 4

↦ 3y = 300

↦ y = 300/3

↦ y = 100

Therefore,

• Value of y = 100
• Value of x = 7y/4 = 7×100/4 = 700/4 = 175

_____________________

★Check :

• Difference of two integers = 75

→ x - y = 75

→ 175 - 100 = 75

→ 75 = 75

Hence, L.H.S = R.H.S.

Thus, Checked .