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Question
Show that 137 + 713 + 371 is divisible by 111 without directly adding. [4 MARKS]
Show that 137 + 713 + 371 is divisible by 111 without directly adding. [4 MARKS]
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Solution
Concept: 1 Mark
Application: 3 Marks
137 = 100 + 30 + 7
713 = 700 + 10 + 3
371 = 300 + 70 + 1
137 + 713 + 371 = 100 +10 +1 + 300 + 30 + 3 + 700 + 70 + 7
= 111 + 333 + 777
= 111(1 + 3 + 7)
Hence it is clear that the number is divisible by 111.
Concept: 1 Mark
Application: 3 Marks
137 = 100 + 30 + 7
713 = 700 + 10 + 3
371 = 300 + 70 + 1
137 + 713 + 371 = 100 +10 +1 + 300 + 30 + 3 + 700 + 70 + 7
= 111 + 333 + 777
= 111(1 + 3 + 7)
Hence it is clear that the number is divisible by 111.
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