Math, asked by ritisharma0408, 9 days ago

द सम ऑफ टू नंबर्स 15 एंड द सम ऑफ द स्क्वायर इज 113 फाइंड द नंबर​

Answers

Answered by p1952349
1

here's ur ans!!!!!!!

Step-by-step explanation:

Given, the sum of 2 numbers=15

Let one of the numbers be x

So, the other number= 15-x

Also, given that the sum of their squares= 113

So, x² + (15-x)² = 113

=> x²+15²-2(15)(x)+x² = 113 [used (a-b)² formula]

=> 2x²+225–30x = 113

=> 2x²-30x = 113–225

=> 2(x²-15x)= -112

=> x²-15x = -112/2= -56

=> x²-15x+56 = 0

=> x²-8x-7x+56 = 0

=> x(x-8)-7(x-8) = 0

=> (x-7)(x-8) = 0

=> x=7 or x=8

When x= 7,i.e., one number is 7,

The other number= 15–7= 8

When x=8, the other number= 15–8=7

Therefore, the required numbers are 7 and 8

Hope it's helpful…

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