KCET2012MathematicsBasics of Mathematics
If (24,92)=24 m+92 n , then (m, n) is
Options
- A(-1,4)
- B(4,-1)
- C(4,-3)
- D(-4,3)
Correct answer
B. (4,-1)
Step-by-step solution
Since, 92=3 24+2024=1 20+420=4 5+0 (24,92)=4=24-1 20=24-1 (92-3 24)=24-92+3 24=4 24-92 But (24,92)=24 m+92 n From Eqs. (i) and (ii), we get aligned m &=4 and n =-1 ( m , n ) &=(4,-1) aligned