Use compensation to write 3 different equations with the same sum as 38+16. then solve.

i) x + 17 = 54, where x = 37

ii) x + 15 = 54, where x = 39

iii) x + 25 = 54, where x = 29

Step-by-step explanation:

Let's find the sum of 38 and 16.

38 + 16 = 54

We need to find 3 different equations, their sum is 54.

i) x + 17 = 54

To find the x, subtract 17 from both sides, we get

x + 17 -17 = 54 -17

x = 37

37 + 17 = 54

ii) x + 15 = 54

x = 54 -15

x = 39

39 + 15 = 54

iii) x + 25 = 54

Subtracting both sides by 25, we get

x + 25 - 25 = 54 - 25

x = 29

29 + 25 = 54