The sum of two number is 60 and the difference is 8.Find the numbers
Answers
Answer:
one number is 34 and the other is 26
Step-by-step explanation:
let the two no be X and y then X+y=60 and x-y=8 add both the equations and u will get the value of X i.e 34 and then put value of X in any of the equation and you will get y i.e 26
Given:
The sum of two numbers is 60, and the difference of the same two numbers is 8.
To Find:
The value of the two numbers are?
Solution:
1. Let the two unknown numbers be x and y.
2. The sum of the two numbers is 60. The algebraic equation will be,
=> x + y = 60. ( Assume as equation 1 )
3. The difference of the two numbers is 8. The algebraic expression will be,
=> x - y = 8. ( Assume as equation 2 )
4. Add equations 1 and 2,
=> x + y + x - y = 68,
=> 2x = 68,
=> x = 34.
5. Substitute the value of x in equation 1,
=> 34 + y = 60,
=> y = 60 - 34,
=> y = 26.
Therefore, the two unknown numbers are 34 and 26.