the sum of two consecutive even number is 98. find the numbers.
Answers
Answer:
48 and 50
Step-by-step explanation:
Some examples would be 46 and 52, 40 and 58, etc.
However, many of these questions actually state that the two even integers are consecutive (consecutive numbers follow one right after another, such as 52 and 53- even/odd consecutive numbers are even/odd numbers that follow after each other, such as 52 and 54).
If you set up an equation with 2 consecutive numbers it would look something like n+n+2=98. N is the smaller number, and the larger number would be the even number following right after.
Solve the equation:
2
n
+
2
=
98
→
Combine like terms
2
n
=
96
→
Subtract 2 from each side
n
=
48
Divide each side by 2
Thus, the two numbers would be 48 and 50
Let one even number be x.
And other even number be (x+2)
According to question,
x+(x+2)=98
x+x+2=98
2x+2=98
2x=98-2
2x=96
x=96/2
x=48
(x+2)=(48+2)=50
(x+2)=50
Therefore, the numbers are 48 and 50.