1-The sum of 4 consecutive multiples of 5 is 125. Find these multiples.
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2
Step-by-step explanation:
The sum of two consecutive multiples of 5 is 125. How do you form the linear equation in one variable to find the numbers?
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The two consecutive multiples of 5 are 5x and 5 (x + 1)
As per statement, the sum of two consecutive multiples of 5 is 125.
5x + 5 (x + 1) = 125
5x + 5x + 5 = 125
10x + 5 = 125
10x = 125 - 5
10x = 120
x = 120 / 10
x = 12
This one consecutive multiples of 5 is 5x = 5 × 12 = 60 and the other consecutive multiples of 5 is 5 (x + 1) = 5 (12 + 1) = 5 × 13 = 65
Answer the two consecutive multiples of 5 are 60 and 65.
To check the correctness of answer taking the sum of derived values, which should be 125
60 + 65 = 125
125 = 125
Answered by
1
Answer:
60 and 65.........
Step-by-step explanation:
The two consecutive multiples of 5 are 5x and 5 (x + 1)
As per statement, the sum of two consecutive multiples of 5 is 125.
5x + 5 (x + 1) = 125
5x + 5x + 5 = 125
10x + 5 = 125
10x = 125 - 5
10x = 120
x = 120 / 10
x = 12
This one consecutive multiples of 5 is 5x = 5 × 12 = 60 and the other consecutive multiples of 5 is 5 (x + 1) = 5 (12 + 1) = 5 × 13 = 65
Ans the two consecutive multiples of 5 are 60 and 65.
To check the correctness of answer taking the sum of derived values, which should be 125
60 + 65 = 125
125 = 125
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