Question

Maria and Veronica were asked to add two whole numbers. Instead, Maria subtracted the two numbers and got 10 while Veronica multiplied them and got 651. What was the correct sum

Answer 1

31 + 21 = 52

Explanation:

Calculation for the correct sum

First step is to factor 651 which means that 1 * 3 * 7 * 31 will give us 651

Second step is to find 3 possibilities numbers that will give us 10 as the difference

3 possibilities numbers =(31, 21), (93, 7), (217, 3)

Third step is to make use of equation 1 to find the numbers that has 10 as the difference among the 3 possibilities numbers

The number that has 10 as the difference is (31, 21) because 31-21 will gives us 10

Now Equation 1 = X – Y = 10

Where,

X=31

Y=21

Hence,

31 – 21 = 10

Since 31 – 21 gave us 10 as the difference which means that the correct sum will be:

Correct sum =31 + 21 = 52

Therefore the Correct sum is 31 + 21 = 52