Yuri has a board that is 98 in. long. He wishes to cut the board into two pieces so that one piece will be 10 in. longer than the other. What should the length of each be

Let the shorter board's length be x. The other will be x+10.
x + x + 10 = 98
2x = 88
Solve that for x

x+x+10=98
2x=88
2x/2=88/2
x=44

Yes, and the other length is 54.

To solve this problem, we can use the information provided to set up an equation. Let's let x represent the length of the shorter board. Since the other piece is 10 inches longer, its length would be x + 10.

According to the problem statement, the two board lengths should add up to 98 inches. So, we can write the equation:

x + (x + 10) = 98

Next, we simplify the equation:

2x + 10 = 98

Subtract 10 from both sides:

2x = 88

Finally, divide both sides by 2:

x = 44

Therefore, the length of the shorter board is 44 inches, and the length of the longer board is 44 + 10 = 54 inches.