Solve Using Reference Equation: Finding 39+39 Using 40+40=80

Question

40+40=80 40+40=80

Use the above equation to help solve the following problem:

39+39=? 39+39=\text{?}

Step-by-Step Solution

To solve this problem, we'll use the information that 40+40=80 40 + 40 = 80 . We'll employ the following steps:

  • Step 1: Realize that 39 39 is 1 less than 40 40 . Therefore, 39+39 39 + 39 can be rewritten using the relationship 40+40 40 + 40 as (401)+(401)(40 - 1) + (40 - 1).
  • Step 2: Simplify the expression to calculate the total: (40+40)(1+1)=802 (40 + 40) - (1 + 1) = 80 - 2 .
  • Step 3: Subtract 2 from 80 to obtain the result.

Now, let's perform the calculation:

40+40=80 40 + 40 = 80 implies that 39+39=802=78 39 + 39 = 80 - 2 = 78 .

Therefore, the solution to the problem is 78 78 .

Answer

78 78