Question

the sum of twice a number and 4 is equal to three times the difference of the number and 5. Find the number.

Answer 1

Let's assume that the number we're looking for is x.

According to the problem statement, we have:

2x + 4 = 3(x - 5)

Now let's solve for x:

2x + 4 = 3x - 15

Subtracting 2x from both sides:

4 = x - 15

Adding 15 to both sides:

x = 19

Therefore, the number we're looking for is 19.