Question

two times one number added to four times another gives 34.the sum of two numbers is 13. find the numbers

Answer 1

Answer:

the two numbers are 18 and 16

Step-by-step explanation:

let me tell you one thing:i didn't understand the line"the sum of two numbers is 13. " so i did it this way

2x+4y=34                                            

x+y=13

x=13-y

2(13-y)+4y=34                                          

26-2y+4y=34

26+2y=34

2y=34-26

2y=8

y=4

x=13-y

x=13-4

x=9

2(9)+4(4)=34

18+16=34

the two numbers are 18 and 16

Answer 2

Answer:

Step-by-step explanation:

Let the number be x

another number =y

2x+4y=34

2(x+2y)=34

x+2y=17

x+2y-17=0........................... 1

x+y=13

x+y-13=0................................ 2

equating equations

x+y-13=x+2y-17

y-2y= -17+13

-y=-4

y=4

x+y=13

x=13-4

x=9

hence the numbers are 9 and 4

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