Question

Can anyone help me with this problem with a full explanation?? thank you ​

Answer 1

Explanation:

let the three consecutive odd number be x + 1 , x + 3 , x + 5

a/q

5 times the middle number = 5(x + 3) is

3 more than twice the sum of 1st and 3rd number = 3 + 2(x+1 + x + 5 )

so,

= 5 ( x + 3 ) = 3 + 2 ( x + 1 + x + 5 )

= 5x + 15 = 3 + 4x + 12

= 5x + 15 = 4x + 15

= -4x + 5x = 15 - 15 = 0

= x = 0

so, the 3 consecutive odd numbers are,

x + 1 = 1

x + 3 = 3

x + 5 = 5

and also a/q

5 times the middle number = 5×3 = 15

is equal to 3 more than twice the sum of 1st and 3rd number = 3 + 2(1+5) = 12 + 3 = 15

LHS = RHS

hope this answer helps you dear...take care and may u have a great day ahead!

Answer 2

1, 3, 5

Explanation:

let the 3 consecutive odd numbers be n , n + 2 , n + 4 , then

5(n + 2) = 2(n + n + 4) + 3 ( 5 times 2nd = twice sum of 1st and 3rd + 3 )

5n + 10 = 2(2n + 4) + 3

5n + 10 = 4n + 8 + 3

5n + 10 = 4n + 11 ( subtract 4n from both sides )

n + 10 = 11 ( subtract 10 from both sides )

n = 1

n + 2 = 1 + 2 = 3

n + 4 = 1 + 4 = 5

The 3 consecutive odd numbers are 1, 3, 5