Question

Express 17 square sa the sum of two consecutive natural number (using property )

Answer 1

Given:-

• Two Numbrrs Which add to get a sum of 289.

To Find :-

• To Find the required two numbers.

Solution :-

From the question it states that the sum of two numbers = 289 [Square of 17]

We can take Two numbers Which are variables and add and to derive to get the required numbers

• Let the two numbers be x and x + 1

• Adding two numbers = 2x+1 = 289

• 2x = 289-1

• 2x = 288

• => x = 288/2

• => x = 144

• The first number = 144 and second number = x + 1 = 144+1 = 145.

$\sf{ \bold{ \star{ \underline{ \red{So \: The \: Two \: No = 144 \: and \: 145}{} }{} }{} }{} }{}$

Answer 2

Question :-

Express 17 square sa the sum of two consecutive natural number (using property )

Answer:-

Given:-

We should express the sum of 17 th square as a sum of two consecutive Natural Numbers.

To Find:-

• The Two consecutive Natural Number's

Solution :-

So, take the two numbers as variables and then by substituting we can get the answer.

• Let x and x+1 be the two consecutive Natural Numbers

• According to the question both these numbers add upto the sum of 289 which is the square of 17

• x+x+1 = 289

• 2x = 289-1

• x = 288/2

• x = 144 and x+1 = 144+1 = 145

$\sf{ \bold{ \large{ \red{the \: two \: numbers \: are = 144 \: and \: 145}{} }{} }{} }{}$