Find the sum of two consecutive even number whose sum is i30
Answers
Step-by-step explanation:
★ Correct Question :
Find two consecutive even numbers whose sum is 130.
Let,
First consecutive even number = x
Second consecutive even number = x + 2
★ According to the question :
The sum two consecutive even number is 130
So,
⇒ (x) + (x + 2) = 130
⇒ 2x + 2 = 130
⇒ 2x = 130 - 2
⇒ 2x = 128
⇒ x = 128 / 2
⇒ x = 64
First consecutive even number is 64
Second consecutive even number = x + 2
⇒ x + 2
⇒ 64 + 2
⇒ 66
The sum two consecutive even number is 130 :
⇒ 64 + 66
⇒ 130
Therefore,
The consecutive even numbers are 64 and 66
Given :-
- Sum of two consecutive even number is 130.
To find :-
- The two number
According to the question,
Let the first consecutive even number be x
And second consecutive even number be x + 2
So,
→ x + x + 2 = 130
→ 2x + 2 = 130
→ 2x = 130 - 2
→ 2x = 128
→ x = 128 ÷ 2
.°. x = 64
_______________...
So,
The first consecutive even number is x
→ x
→ 64
_______________....
The second consecutive even number is x + 2
→ x + 2
→ 64 + 2
→ 66
__________...
Verification :
As given in the question,
The sum of two consecutive even number is 130
→ 64 + 66 = 130
→ 130 = 130
.°. L.H.S = R.H.S
Hence,verified...