Question

The sum of two even consecutive numbers is thirty-four. What are the numbers? NEED FOR RSM NEED BY THURSDAY NEXT WEEK HELP

Answer 1

18, 16

Explanation:

let the two numbers be x and y

x+y=34→→→→→→equation 1

The difference between any two consecutive even number is 2 therefore

x-y=2→→→→→→equation 2

from equation 1 make x the subject of the formula by taking y to the other side;

x=34-y→→→→→→equation 3

substitute equation 3 as x in equation 2. we have;

34-y-y=2;

34-2y=2;

collect like terms;

-2y=2-34

-2y=-32

divide both sides by -2 we have;

y=16; it is no longer negative because the minus have cancelled each other when dividing

from equation 3;

x=34-y

x=34-16

x=18

Answer 2

16 and 18 are two consecutive even numbers that equal 34.

Even numbers starting from zero go: 0,2,4,6,8,10,12,14,16,18,20, and so on...