.Write down a pair of integers whose
a)sum is-5.
b)difference is-7.
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Solution
Given:-
- Sum of two integer = 5
- Difference of two integer = 7
Find:-
- These are two integer
Explanation
Let,
- First integer = x
- second integer = y
A/c to question
➠ x + y = 5 ---------(1)
Again,
➠ x - y = 7-----------(2)
Add equation (1) and (2)
➠ 2x = 12
➠x = 12/2
➠ x = 6
Keep value in equation (2)
➠ 6 - y = 7
➠ y = 6 -7
➠ y = -1
Thus
- Value of first integer x = 6
- Value of second integer y = -1
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Verification
Case(1):-
Keep value of x and y in equ(1)
➠ 6 - 1 = 5
➠ 5 = 5
L.H.S = R.H.S
Case(2):-
keep value of x and y in equ(2)
➠ 6 - (-1) = 7
➠ 6 + 1 = 7
➠ 7 = 7
L.H.S = R.H.S
Both cases are proved.
Hence, our solution is right.
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