Lin and Pazi each think of a number. Lins number is 7 more than pazis number. The sum of the two numbers is 49. What is pazis number?

Answer 1

If we let P represent Pazi and L represent Lin, we know the following:

P + L = 49

P + 7 = L

We can replace the L in the first equation with P + 7 which will give us:

P + P + 7 = 49

We can combine both Ps to make P + P = 2P

Therefore:

2P + 7 = 49

If we subtract 7 from both sides:

2P = 42

If we divide by 2 on both sides

P = 21

Pazi's number is 21