What 2 digit number has 2 one digit factors that have a sum of 16 and a difference of 2?What is it?
the numbers are 9 and 7
To find the two one-digit factors of a two-digit number with a sum of 16 and a difference of 2, you can set up a system of equations.
Let the two one-digit factors be represented by x and y, and let the two-digit number be represented by xy (where x is the tens digit and y is the ones digit).
According to the problem, the sum of the two factors is 16, so you can set up the equation:
x + y = 16
Also, the difference between the two factors is 2, so you can set up the equation:
x - y = 2
To solve this system of equations, you can use substitution or elimination. Let's use substitution:
From the second equation, you can isolate x:
x = y + 2
Now substitute this expression for x in the first equation:
(y + 2) + y = 16
Combine like terms:
2y + 2 = 16
Subtract 2 from both sides:
2y = 14
Divide both sides by 2:
y = 7
Now substitute this value of y back into the equation x = y + 2:
x = 7 + 2
x = 9
Therefore, the two numbers that satisfy the conditions of having two one-digit factors with a sum of 16 and a difference of 2 are 9 and 7.