The difference between the squares of two consecutive numbers is 35 the smaller number is

Correct Answer:

Description for Correct answer:

Assume that the consecutive numbers are x, x+ 1 (x+1)Therefore, \( \Large \left(x+1\right)^{2}-x^{2}=25 (given) \)\( \Large x^{2}+2x+1-x^{2} = 25 \)Therefore, 2x+1 = 252x = 24 x = 12

Therefore, the numbers are 13, 12.

Comments

Similar Questions