The sum of two numbers are 80 and the difference between them are 30 find the numbers
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Given :-
- The sum of two numbers are 80
- The difference between them are 30
To find :-
- Find the numbers
Solution :-
Let the first number be x then second number be y
According to the question
- (x + y) = 80 ---(i)
- (x - y) = 30 ----------(ii)
Add both the equations
→ (x + y) + (x - y) = 80 + 30
→ x + y + x - y = 110
→ 2x = 110
→ x = 110/2
→ x = 55
Now, substitute the value of x in eqⁿ (ii)
→ (x - y) = 30
→ 55 - y = 30
→ 55 - 30 = y
→ y = 25
Hence,
- First number = x = 55
- Second number = y = 25
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