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