The difference between the squares of two consecutive numbers is 141 . Find the numbers.
Answers
Answered by
1
Step-by-step explanation:
let the numbers be x and x-1
given x^2-(x-1)^2= 141
x^2-x^2-1+2x=141
2x-1=141
2x=142
x=71
x-1=70
numbers are 70 and 71
Answered by
11
Answer:
70 and 71 are the two consecutive numbers.
Step-by-step explanation:
Since the numbers are consecutive,
Let the numbers be x and x+1,
ATQ,
(x+1)² - (x)² = 141
=> x² + 2x + 1 - x² = 141
=> 2x + 1= 141
=> 2x = 141 - 1
=> 2x = 140
=> x = 140/2
=> x = 70
Other Number = x+1 = 70+1 = 71
Verification,
71² - 70² = 5041 - 4900 = 141
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