The sum of two consecutive odd integers is 304. How do you find the two integers?

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Answer 1 · 2016-02-14T00:28:55

Write an equation, in function of x, to represent the situation.

Assuming the smaller number is x, the larger x + 2, since odd numbers come at intervals of two numbers (even, odd, even, odd, etc.)

#x + x + 2 = 304#

#2x = 302#

#x = 151#

The numbers are 151 and 153.

Practice exercises:

Good luck!

Answer 2 · 2016-02-15T12:25:45

#151 and 153#

Always remember that consecutive integers differ in the value of #color(orange)(2#:

So,Let the first number#=color(red)(x#

Then,second number=#=color(red)(x+2#

Substitute the values into the equation:

#rarrcolor(blue)((x)+(x+2)=304#

Remove the brackets:

#rarrx+x+2=304#

#rarr2x+2=304#

#rarr2x=304-2#

#rarr2x=302#

#color(green)(rArrx=302/2=151#

So,

#color(green)(x=151 , x+2=151+2=153#