Find three consecutive numbers such that seven times the smallest may be equal to three times the sum of the other two
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77
Answer:
9, 10 , 11
Step-by-step explanation:
Let the three consecutive numbers be x, x + 1, and x + 2 respectively.
According to the question ;
7x = 3 ( x + 1 + x + 2 )
⇒ 7x = 3 ( 2x + 3 )
⇒ 7x = 6x + 9
⇒ 7x - 6x = 9
⇒ x = 9
Therefore, the three consecutive numbers are ;
- x = 9
- x + 1 = 10
- x + 2 = 11
Hence, the numbers are 9, 10 and 11.
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