Question

the sum of two numbers is 16 and their difference is 2 the big number between them is

Answer 1

Step-by-step explanation:

let the 2 numbers as x and y

as given:-

x+y=16 ....(1)

x-y=2 ....(2)

add equation (1)and(2)

x + y = 16

x - y = 2

--------------

2x- 0 = 18

x = 18/2

x = 9

now put value of x in equation (1)

9 + y = 16

y = 16 - 9

y = 7

9 is the big number between them....

hence problem solved

Answer 2

Answer:  7 and 9. Thus numbers are 7 and 9. a+b=16 and a-b=2, therefor adding the 2 equations 2a=18, or a=9.

Step-by-step explanation:  Let the smaller number be x, then the bigger number is (16-x).

(

16

−

x

)

−

x

=

6

 

←

bigger - smaller = 6

16

−

x

−

x

=

6

16

−

6

=

2

x

10

=

2

x

5

=

x

the numbers are 5 and 11.

Check:

11

+

5

=

16

11

−

5

=

6

11

×

5

=

55