Of the three consecutive numbers, five times the smallest number is 20 more than three times the greatest number. (Find the middle number)
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Answer:
answer is 18
Step-by-step explanation:
Correct Question :-
The Sum of the three consecutive natural numbers five times the smallest number is 9 more than 4 times the greatest number find the numbers.
Solution :-
Let the three consecutive numbers are x - 1, x and x + 1.
According to the Question,
⇒ 5(x - 1) = 9 + 4(x + 1)
⇒ 5x - 5 = 9 + 4x + 4
⇒ x = 18
1st number = x - 1 = 18 - 1 = 17
2nd number = x = 18
3rd Number = x + 1 = 18 + 1 = 19
Hence, the three numbers are 17, 18 and 19.
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