Question

sum of squares of 2 nos is 2020 and difference of their squares is 868. What are the nos

Answer 1

Given,

sum of squares of 2 numbers = 2020

difference of squares of 2 numbers = 868

To Find,

The two numbers

Solution,

Let the two numbers be a and b.

Now, according to the given question

a²+b² = 2020

a²-b² = 868

adding the above equations, we get

2a²= 2888

a²=1444

a = 38

Now, putting the value of a in first equation

1444 + b² = 2020

b² = 576

b = 24

Hence the two numbers are 38 and 24.

Answer 2

Given: Here we have the sum of squares of 2 numbers = 2020 and difference of squares of 2 numbers = 868

To Find: We have to find the two numbers

Step by step solution:

Here we will consider the two numbers be x and y.

Now, according to the given given conditions

x²+y² = 2020

x²-y² = 868

we will add above equations

2x²= 2888

x²=1444

x = 38

Now, we will put the value of x in first equation

1444 + y² = 2020

y² = 576

y = 24

FInal answer:

Hence the two numbers are 38 and 24.