2 sankhya ka Yog 15 hai aur unke varg ka Yog 113 Hai To sankhya gyat kijiye
Answers
Answer:
7 and 8
Step-by-step explanation:
let,
one number is x
and other is y
ATQ-
x+y=15 .............(i)
x^2 + y^2=113 .............(ii)
equation (i)-----
x+y=15
x=15-y
equation (ii)------
x^2 + y^2=113
(15-y)^2 + y^2=113. ............(x=15-y)
225+y^2 -30y+y^2=113
225+2y^2 -30y=113
2y^2 -30y=113-225
2(y^2 -15 y)= -112
(y^2 -15 y)= -56
y^2 -15 y+56=0
factories-------
y^2 -8y-7y+56
y(y-8)-7(y-8)
(y-7)(y-8)
Now---
(y-7)= 0
y=7
and,
(y-8)=0
y=8
so,
one number is 7
and the other is 8.
checking the result-------
7+8=15. ...............(i)
7^2 + 8^2=113
49+64=113. ............(ii)