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The sun of two numbers is 36. The larger number is 18 more than the smaller number. What are the numbers?

User Ave
by
5.0k points

2 Answers

11 votes

Answer:

the numbers are 9 and 27

Explanation:

equation to the problem: x+y=36

one number (y) is 18 times greater than the other number (x): x+18=y

plug in the 2nd equation to the first equation (systems of equations):

x+(x+18)=36

solve the equation:

2x+18=36

*minus 18 on both sides*

2x=18

*divide the whole equation by 2 to get the value of just one x*

x=9

since variable x is the n smaller number, add 18 to 9 to get the 2nd number:

18+9= 27

y=27

User Joseph Marinier
by
4.4k points
4 votes

Answer:

Explanation:

a+b=36

lets name the 2 numbers a,b

b=a+18

a+a+18=36

2a=36-18

2a=18

a=9

b=27

User Dankoliver
by
4.2k points