Question

Question 24.
Express 72 as the sum of two consecutive integers. .
(a) 40 + 9
(b) 24 + 25
(c) 36 + 13
(d) 32 + 17.
Answer​

Answer 1

Answer:

We know that, \(7^2=49\) is odd number.

Since, \(\frac{x^2-1}{2}\) and \(\frac{x^2+1}{2}\) are the two consecutive integers whose sum is \(x^2\).

So, \(\frac {7^{2}-1}{2}=24\) and \(\frac {7^{2}+1}{2}=25\) are the two consecutive integers whose sum is \(7^2\).

Hence, \(7^2=\frac {7^{2}-1}{2}+\frac {7^{2}+1}{2}=24+25.\)

Answer 2

Answer:

there must be correction in the question.. 49 as the sum of two consecutive integers

then option should be b

24+25=49

as 24 and 25 are consecutive integers

thanks