Question

The sum of two numbers is 10 and their difference is 6, then the numbers are :
a. (8,2)
b. (9,1)
c. (6,4)
d. (7,3)

Answer 1

8 + 2 is 10
8 - 2 is 6
here you go
option 1

Answer 2

Answer:

Option (a) is correct

Step-by-step explanation:

Concept:

A simultaneous equations in two variables are formed as per given data.

The solution of those equations is found by elimination method.

Let the two numbers be x and y with x > y

As per given data,

x + y = 10.........(1)

x - y = 6............(2)

(1)+(2)

2x = 16

x = 16/2

x = 8

put x = 8 in (1)

x + y = 10

8 + y =10

y = 10 - 8

y = 2

Solution: x = 8, y = 2