Question

After interchanging + & x and 6 & 10, which of the following equations will hold true?

• A. (6+3)x10=36
• B. (10+2)x6=20
• C. (6+5)x10=50
• D. (10+4)x6=30

Answer 1

Answer:

A. (6+3)x10=36

We are told to interchange:

• + and ×

• 6 and 10

Let's test each option after applying both interchanges.

Option 1

$(6+3)\times10 = 36$

$(10 \times 3) + 6 = 30 + 6 = 36$

True

Option 2

$(10+2)\times6 = 20$

After interchange:

$(6 \times 2) + 10 = 12 + 10 = 22$

False

Option 3

$(6+5)\times10 = 50$

After interchange:

$(10 \times 5) + 6 = 50 + 6 = 56$
False

Option 4

$(10+4)\times6 = 30$

After interchange:

$(6 \times 4) + 10 = 24 + 10 = 34$
False

Answer

$\boxed{(6+3)\times10 = 36}$

Option 1 is the equation that holds true.