The correct option is C a=34,b=134
Given,
2(a+b)−(a−b)=6
4(a−b)=2(a+b)−9
2(a+b)−(a−b)=6
2a+2b−a+b=6
a+3b=6 ........ (1)
4(a−b)=2(a+b)−9
4a−4b=2a+2b−9
2a−6b=−9 ...... (2)
On adding equations (1) and (2), we get
2a+6b=12
2a−6b=−9
__________________
4a=3
a=34
Putting the value of a in eq (1), we get
34+3b=6
3b=6−34
b=214×13=2112=1912=134
Hence, a=34 and b=134