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The equation MATH = COU + NTS can be made true if each of the letters M, A, T, H, C, O, U, N and S is replaced by a different digit and the equation is seen as the sum of two three-digit integers resulting in a four-digit integer. If C = 2, a solution can be found in which one of the three-digit integers is a multiple of 23. In that case, what four-digit integer does MATH represent?

 Nov 6, 2019

Best Answer 

 #1
avatar+23862 
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The equation MATH = COU + NTS can be made true if each of the letters M, A, T, H, C, O, U, N and S is replaced by a different digit and the equation is seen as the sum of two three-digit integers resulting in a four-digit integer.
If C = 2, a solution can be found in which one of the three-digit integers is a multiple of 23.
In that case, what four-digit integer does MATH represent?

 

MATH = COU + NTS

  1034 = 298 + 736         736 is a multiple of 23.

 

laugh

 Nov 6, 2019
 #1
avatar+23862 
+3
Best Answer

The equation MATH = COU + NTS can be made true if each of the letters M, A, T, H, C, O, U, N and S is replaced by a different digit and the equation is seen as the sum of two three-digit integers resulting in a four-digit integer.
If C = 2, a solution can be found in which one of the three-digit integers is a multiple of 23.
In that case, what four-digit integer does MATH represent?

 

MATH = COU + NTS

  1034 = 298 + 736         736 is a multiple of 23.

 

laugh

heureka Nov 6, 2019

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