# The sum of the squares of two consecutive positive numbers is 61. What is the smaller number?

##### 2 Answers

Jun 28, 2016

Smallest no is

#### Explanation:

Let the smaller no be

Given:

#n^2 + n^2 + 2n + 1 - 61 = 0#

#n^2 + n^2 + 2n + 1 - 61 = 0#

#2n^2 + 2n - 60 = 0#

#n^2 + n - 30 = 0#

# (n+6)(n-5) = 0# =># # n = -6# or # n=5#

Discard

Jun 28, 2016

The smaller number is

#### Explanation:

Let the smaller number be

Hence

But as we need positive numbers only,