Question

the sum of two numbers is 30 and their difference is 6. what are the two numbers

Answer 1

Answer:

x = 18, y = 12

Step-by-step explanation:

Let the numbers be x, y.

As given,

x + y =30 --- ( 1 )

x - y = 6 --- ( 2 )

By ( 1 ) + ( 2 ) ,

( x + y ) + ( x - y ) = 30 + 6

2x = 36

x = 18

Thus, in ( 1 ) ,

x - y = 6

18 - y = 6

y = 18 - 6

y = 12

Therefore, x = 18, y = 12

Answer 2

Answer:

so the first no. is 17 and second is 13

Step-by-step explanation:

let one no. be =x

second no.be=y

according to the question,

x+y=30

x-y=6(we can take any one as greater than the other)

so from the first equation we take,

x+y=30

x=30-y

so we get the value of x

now we substitute the value of x in the second equation

x-y=6

30-y-y=6

30-2y=6

-2y=-26

y=-26/-2

y=13

now we know what is the value of y so from that we can say,

x+y=30

x+13=30

x=30-13

x=17

so the first no. is 17 and second is 13