Sovi.AI - AI Math Tutor

Scan to solve math questions

QUESTION IMAGE

48.55 + k = 61.77 48.55 + k - \\square = 61.77 - \\square k = \\square

Question

48.55 + k = 61.77
48.55 + k - \square = 61.77 - \square
k = \square

Explanation:

Step1: Apply subtraction property of equality

To solve for \( k \) in the equation \( 48.55 + k = 61.77 \), we use the subtraction property of equality, which states that if we subtract the same number from both sides of an equation, the equation remains true. So we subtract \( 48.55 \) from both sides.
\( 48.55 + k - 48.55 = 61.77 - 48.55 \)

Step2: Simplify both sides

Simplifying the left side, \( 48.55 - 48.55 + k = k \). Simplifying the right side, we calculate \( 61.77 - 48.55 \).
\( 61.77 - 48.55 = 13.22 \)
So \( k = 13.22 \)

Answer:

The first two boxes are \( 48.55 \) and the third box is \( 13.22 \) (i.e., \( 48.55 + k - \boldsymbol{48.55} = 61.77 - \boldsymbol{48.55} \), \( k = \boldsymbol{13.22} \))