The sum of three numbers is 75. The second number is 5 more than 4 times the first, and the third is 2 times the first. Find the second number.

Second number = 4 (10) + 5 = 45

Step-by-step explanation:

First number = x

Second number = 4x + 5

Third number = 2x

Therefore, the total is:

x + (4x + 5) + 2x = 75

Combine like terms:

7x + 5 = 75

Subtract 5 from both sides:

7x = 70

Divide both sides by 7:

x = 10

Recall that x represents the first number. Therefore, the first number is 10. The second number is 4 (10) + 5 = 45. The third number is 2 (10) = 20. To verify: 10 + 45 + 20 = 75. Check.