4 years ago

The sum of 4 consecutive numbers is equal to the sum of the next 3 consecutive numbers. Find the largest number.

Mathematics

2 answers:

timurjin [86]4 years ago

6 0

Answer:

The answer is: The largest number is 15.

Step-by-step explanation:

Let n = the number

n + (n + 1) + (n + 2) + (n + 3) = (n + 4) + (n + 5) + (n + 6)

4n + 6 = 3n + 15

n = 9

Proof:

9 + 10 + 11 + 12 = 19 + 23 = 42

13 + 14 + 15 = 27 + 15 = 42

Hope this helps! Have an Awesome Day!! :-)

rosijanka [135]4 years ago

6 0

Step-by-step explanation:

Let numbers :

n, n+1, n+2 , n+3

Given:

n + n + 1 + n + 2 + n + 3 = n + 4 + n + 5 + n + 6

4n + 6 = 3n + 15

n = 9

Largest number = n+6 = 15

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