3)three consecutive natural numbers are such that the square of the middle number exceeds the difference of the square of the other two by 60 find the numbers
Answers
Answered by
28
Answer:
Step-by-step explanation:
Since the middle number of the three consecutive numbers is x, the other two numbers are x -1 and x +1.
According to the given condition, we have
x² = [(x +1)² -(x -1)²] +60
x² = (x² +2x +1) -(x² -2x +1) +60 = 4x +60
x² -4x -60 = 0 => (x -10)(x +6) = 0
x = 10 or -6
Since x is a natural number, we get x = 10
Hence the three numbers are 9, 10, 11
Answered by
6
Answer:
aun kya aap ka khana ho gya or papa or mummy ka bhi na khana
Similar questions