Question

दो संख्याओं के वर्गों का योग 250 है तथा वर्गों का अंतर अट्ठासी है तो संख्या क्या है

Answer 1

The sum of squares of 2 numbers is 250 and difference of their squares is 88.

Let those 2 numbers are x and y

So, x² + y² = 250 -------(1)

x² - y² = 88

x² = 88 + y² ---------(2)

Putting the value of x² in equation (1)

x² + y² = 250

(88 + y²) + y² = 250

2y² = 250 - 88

2y² = 162

y² = 162/2

y² = 81

y = √81

y = 9

Now putting the value of y in (1)

x² + y² = 250

x² + (9)² = 250

x² = 250 - 81

x² = 169

x = √169

x = 13

The two numbers are 13 and 9.

Answer 2

Answer:

The sum of squares of 2 numbers is 250 and difference of their squares is 88.

Let those 2 numbers are x and y

So, x² + y² = 250 -------(1)

x² - y² = 88

x² = 88 + y² ---------(2)

Putting the value of x² in equation (1)

x² + y² = 250

(88 + y²) + y² = 250

2y² = 250 - 88

2y² = 162

y² = 162/2

y² = 81

y = √81

y = 9

Now putting the value of y in (1)

x² + y² = 250

x² + (9)² = 250

x² = 250 - 81

x² = 169

x = √169

x = 13

The two numbers are 13 and 9.

Step-by-step explanation: