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\(A, B, C\text{ and }D\text{ are distinct positive integers such that the product }AB = 60\text{, the product }CD = 60\text{ and }A - B = C + D .\text{ What is the value of A?} \)

 Nov 9, 2020
 #4
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Use substitutions to get the following values:

 

A =20,  B =3,  C =12,  D =5

 

AB =20 x 3 =60,  CD =12 x 5 =60,  A - B = C + D =20 - 3 = 12 + 5.

 Nov 9, 2020

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