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After interchanging + & x and 3 & 9, which of the following equations will hold true?

A(3+5)×9=48

B(9+2)x3=10

C(3+7)×9=60

D(9+1)x3=15

Answer:

A. (3+5)×9=48

Read Explanation:

Interchange:

  • (+) and (\times)

  • (3) and (9)

Check each option after interchange.


  1. ((3+5)\times9=48)

After interchange:

(9×5)+3(9 \times 5)+3
45+3=4845+3=48

True


  1. ((9+2)\times3=10)

After interchange:

(3×2)+9(3 \times 2)+9
6+9=15106+9=15 \neq 10

False


  1. ((3+7)×9=60)((3+7)\times9=60)

After interchange:

(9×7)+3(9 \times 7)+3
63+3=666063+3=66 \neq 60

False


  1. ((9+1)\times3=15)

After interchange:

(3×1)+9(3 \times 1)+9
3+9=12153+9=12 \neq 15

False

Therefore, the correct equation is:

(3+5)×9=48\boxed{(3+5)\times9=48}


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