please answer my question
Answers
Answer:
Step-by-step explanation:
Let the numbers be "x", " x+2"
Given,
x+x+2, 136
2x + 2 = 136
2x = 134.
x = 67.
The consecutive numbers are 67, 69.
7. Given Question,
The sum of three consecutive odd numbers is 213. Find the numbers.
Now,
We know that consecutive odd numbers have a difference of 2, like in, 3, 5, 7
and 9.
So, we can infer that all consecutive odd numbers have a difference of 2.
Then,
If we take one number to be "x", Then,
The other two numbers will be "x + 2" and "x + 4".
So.
=>(x) + (x+2)+(x+4)=213
=>X+X+2+x+4=213
=> 3x + 6 = 213
On transposing 6 from LHS to RHS, we get :
=> 3x = 213-6
=> 3x = 207
On transposing 3 from LHS to RHS, we get :
=> x = 207/3
=> x = 69
Now, we have got one number to be 69.
So, the other numbers will be :
(69+2) = and (69 +4)= 73
Therefore, the numbers are 69, 71 and 73 when the sum of three consecutive odd numbers is 213.
9. Let three consecutive even no. be x+2, x, x-2
∴ x+2 + x + x-2 =504
3x = 504
X = 504/3 = 168
∴x= 8
∴x+2 = 168+2 = 170
∴x-2 = 168-2 = 166
The three consecutive no. are 166,168,170