InterviewSolution
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InterviewSolution
| 1. |
Solve 99x + 101y = 499 |
| Answer» Given, 99x + 101y = 499 ....(i)101x + 99y = 501... (ii)Adding eqn. (i) and (ii),( 99x + 101y ) + (101x + 99y ) = 499 + 50199x + 101y + 101x + 99y = 1000200x + 200y = 1000x + y = 5 ...(iii)Subtracting eqn. (ii) from eqn. (i), we get( 99x + 101y ) - (101x + 99y ) = 499 - 50199x + 101y - 101x - 99y = -2-2x + 2y = - 2or, x - y= 1 ........ (iv)Adding equations (iii) and (iv)x + y + x - y = 5 + 12x = 6{tex}\\therefore {/tex}\xa0x = 3Substituting the value of x in eqn. (iii), we get3 + y = 5y = 2Hence the value of x and y of given equation are 3 and 4 respectively. | |