Question

Below the standard addition algorithm is being used to add three two-digit numbers.

4z
+27
+x5
--------
Y14
If x, y, and z each represent a different digit from 0 to 9, what is the value of (x)(y)(z)?
a. 60
b. 70
c. 80
d. 90

Answer 1

The value of (x)(y)(z) is 28

Step-by-step explanation:

The value of (x)(y)(z) can be determined by solving the addition problem using the standard algorithm and finding the values of x, y, and z.

From the given addition problem, we can see that 4z + 27 + x5 = Y14. We can break down the digits to get the following equations: 4 + 2 + 1 = Y, z + 7 + x0 = 1, and x + 5 = 4.

Solving the equations, we find that x is 1, y is 7, and z is 4. Therefore, (x)(y)(z) = 1 × 7 × 4 = 28.