If the difference of two number is 5 and difference of their squares is 300, then sum of the numbers
Answers
Answered by
5
Answer:
60
Explanation:
let the numbers be x and y
given:
x-y = 5 ..........(i)
x²-y²= 300 ..........(ii)
from equation (ii)
x²-y²=300
=> (x+y)(x-y) = 300 ......[by formula]
=>(x+y) = 300/(x-y)
=>(x+y) = 300/5
=> x+y = 60
Therefore Sum of the two numbers x and y is 60
Answered by
0
60 is the suitable answer.
Given:
- permit the numbers be x and y,
- the distinction among numbers is 5 => x-y = 5.
- distinction in their squares is 300 => x²-y²= 300.
Solution:
- Simplify every aspect of the equation via way of means of eliminating parentheses and mixing like terms.
- Use addition or subtraction to isolate the variable time period on one aspect of the equation.
- Use multiplication or department to clear up for the variable.
- from the above equations, we get
- x²-y²=300
- => (x+ y)(x-y) = 300 [by formula]
- =>(x +y) = 300/(x-y)
- =>(x +y) = 300/5
- => x +y = 60
Therefore, the sum of the two numbers x and y is 60.
#SPJ2
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