find three consecutive natural numbers such that the difference of 5 times the third number and four times the first number is t

Question

Inessa [10]

3 years ago

13

find three consecutive natural numbers such that the difference of 5 times the third number and four times the first number is t

wice the second number

Mathematics

1 answer:

Liono4ka [1.6K] · Answer 1 · 2022-06-25T00:47:43+03:00

Liono4ka [1.6K]3 years ago

4 0

Theya re 1 apart
n,n+1,n+2

difference of 5 times (n+2) and 4 times n is 2 times (n+1)

5(n+2)-4n=2(n+1)
distribute
5n+10-4n=2n+2
n+10=2n+2
minus n both sides
10=n+2
minus 2 both sides
8=n
n+1=9
n+2=10

th enumbers are 8,9,10