on tuesday evening randy spent 18 more minutes working on his math homework than he spent working on his philosophy readings. If he spent a total of 126 minutes on those two subjects then how much time did he spend on his math homework?

p + p + 18 = 126

2p = 108

p = 54

He spent 54 minutes on philosophy readings.

To find out how much time Randy spent on his math homework, we need to set up an equation based on the given information.

Let's assume Randy spent x minutes working on his philosophy readings.

According to the problem, Randy spent 18 more minutes working on his math homework than on his philosophy readings. So, the time spent on math homework is: x + 18.

The total time Randy spent on both subjects is given as 126 minutes: x + (x + 18) = 126.

Now, let's solve the equation to find the value of x (time spent on philosophy readings):

2x + 18 = 126 (Combine like terms)
2x = 108 (Subtract 18 from both sides)
x = 54 (Divide both sides by 2)

So, Randy spent 54 minutes on his philosophy readings.

To find the time he spent on his math homework, we substitute this value back into the equation:

x + 18 = 54 + 18 = 72 minutes.

Therefore, Randy spent 72 minutes on his math homework.