Question

The difference between the squares of two positive numbers is 228

Answer 1

Answer:

The two numbers are 21 and 27

Step-by-step explanation:

Square of 21 is 441 and square of 27 is 729.

difference of two is 288.

Answer 2

The two positive numbers are either 22 and 16 or 58 and 56.

Step-by-step explanation:

It is given that the difference between the squares of two positive numbers is 228.

Let x and y are two numbers, x>y then

$x^2-y^2=228$

$(x+y)(x-y)=228$

Factors pairs of 228 are

$228=(1,228),(2,114), (4, 57),(6,38),(12,19)$

We need to select the factor pairs whose difference is an even number. i.e,, (2,114) and (6,38)

$22-16=6,22+16=38$

$58-56=2,58+56=114$

$22^2-16^2=228$

$58^2-56^2=228$

Therefore, the two positive numbers are either 22 and 16 or 58 and 56.

#Learn more

If the product of two numbers is 228 and their hcf is 18 what is the lcm of that numbers?​

https://brainly.in/question/10058189