(Solve the following problems completely, show your solution)
1. The sum of two and 6 times a number k is 20. Find the value of the number k.
2. The sum of two consecutive numbers is 97. Find the numbers.
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Answers & Comments
Answer:
1. k = 3
2. 48 and 49
Step-by-step explanation:
Solution:
1. 2 + 6k = 20
-2 + 2 +6k)= 20 + -2
6k = 18
k = 3
2. so two consecutive numbers are basically (n) and (n + 1).
97 = n + (n+1)
97 = 2n + 1
-1 + 97 = 2n + 1 + -1
96 = 2n
n = 48
(48 + 1) = 49
We said that the first number is (n) and the second number is (n + 1), that means that the numbers are 48 and 49.