Question

which number between 40 and 50 can be expressed both as the sum of two consecutive integers and as the sum of three consecutive integers​

Answer 1

Answer:

45

Step-by-step explanation:

Hi friend,

First lets apply a trick.

Between 40 and 50, there are odd and even numbers

Taking first case,

Two consecutive integers must include one even and odd integer

But sum of even and odd integers is always an odd integer.

This rules out the possibility of even number being the answer.

Now numbers are 41,43,45,47 and 49.

Divide each of these by 3

For example, dividing 49 by 3 yields approx 16.

Now doing 15+16+17 gives 48 which is even.

So among the three numbers taken, any two numbers must be even.

Now take 45

It is equal to 22+23

Dividing 45 by 3 gives 15.

As per earlier condition, take two even numbers such that they are three consecutive integers.

14+15+16 gives 45.

So 45 is the required answer.

MARK AS BRAINLIEST PLEASE.