Question

'A number which is '2' less than the sum of two consecutive natural numbers' is algebraically written as ______.

• A. $2-(x+1)$
• B. $(x+(x+1\left)\right)-2$
• C. $(2x+1)-2$
• D. $2-(2x+1)$

Answer 1

Answer: (B), (C)

The correct options are
B

$(x+(x+1\left)\right)-2$

C

$(2x+1)-2$

Consider a natural number, say $x$. Then the next natural number is $x+1$.

So, 'Add two consecutive natural numbers' is algebraically written as $x+(x+1).$

Then, a number, two less than the sum of these two consecutive natural numbers is '$(x+(x+1\left)\right)-2$'.

But, we know that if we take any natural number and add the next natural number, or if we double the first number and add 1, we get the same result.

Therefore $(x+(x+1\left)\right)-2$ = $(2x+1)-2$