Question

a faction become 9/11,if 2os added to both numeratervand denominator .if 3 is added to both the numerator and denominator it become5/6 .find the fraction

Answer 1

• Answer:  Step-by-step explanation x+2/y+2=9/11 9y+18=11x+22 9y-11x=4 11x-9y=-4.      (equation 1) x+3/y+3=5/6 5y+15=6x+18 5y-6x=3 6x-5y=-3.       (equation 2)   By elimination method   equation 1×6⇒   66x-54y=-24 equation 2×11⇒  66x-55y=-33                                                                                     By solving these two equations we get,                                                                                                                                 y=9       y=9 in equation 1         11x-9(9)=-4         11x-81=-4       11x=77               x=7,         x=7 & y=9