The sum of two natural number is 10 and their difference is 2, then numbers are : *.
Answers
Step-by-step explanation:
ANSWER
let numbers ax x and y
then,
x+y=10......(i)
+ x−y=+2......(ii)
________________
2x=12
∴x=6
Given:-
- Sum of two natural numbers is 10.
- Difference of two natural numbers is 2.
To Find:-
- The two numbers.
Answer:-
Let us take the first number be x and the second number be y . Let x > y.
According to the first condition sum of the two numbers is 10 .So,
⇒ x + y = 10. .....................(i)
According to the second condition difference of two numbers is 2. So ,
⇒ x - y = 2. .....................(ii)
On adding equⁿ (i) and equⁿ (ii) , we have ;
⇒ x + y = 10.
x - y = 2.
_____________
⇒ x + x = 10 + 2.
⇒ 2x = 12.
⇒ x = 12/2 .
⇒ x = 6.
Hence the value of x is 6.
Now put this value in equⁿ (i) , we have ;
⇒ x + y = 10m
⇒ 6 + y = 10.
⇒ y = (10- 6).
⇒ y = 4.
hence the two numbers are 6 and 4.