The sum of five consecutive multiples of 3 is 360. Find these
multiples.
Answers
Solution:
Given – The sum of five consecutive multiples of 3 is 360.
• We have to find out the numbers.
Let the middle number be x. So,
→ First number = x - 6
→ Second number = x - 3
→ Third number = x
→ Fourth number = x + 3
→ Fifth number = x + 6
According to the given condition,
→ Sum = 360
→ (x - 6) + (x - 3) + x + (x + 3) + (x + 6) = 360
→ 5x = 360
→ x = 72
So,
→ First number = x - 6 = 72 - 6 = 66
→ Second number = x - 3 = 72 - 3 = 69
→ Third number = x = 72
→ Fourth number = x + 3 = 72 + 3 = 75
→ Fifth number = x + 6 = 72 + 6 = 78
• Therefore, the numbers are – 66, 69, 72, 75 and 78.
Answer:
- The numbers are – 66, 69, 72, 75 and 78.
Step-by-step explanation:
ANSWER ✍️
Solution:
Given – The sum of five consecutive multiples of 3 is 360.
• We have to find out the numbers.
Let the middle number be x. So,
→ First number = x - 6
→ Second number = x - 3
→ Third number = x
→ Fourth number = x + 3
→ Fifth number = x + 6
According to the given condition,
→ Sum = 360
→ (x - 6) + (x - 3) + x + (x + 3) + (x + 6) = 360
→ 5x = 360
→ x = 72
So,
→ First number = x - 6 = 72 - 6 = 66
→ Second number = x - 3 = 72 - 3 = 69
→ Third number = x = 72
→ Fourth number = x + 3 = 72 + 3 = 75
→ Fifth number = x + 6 = 72 + 6 = 78
• Therefore, the numbers are – 66, 69, 72, 75 and 78.
Answer:
The numbers are – 66, 69, 72, 75 and 78.