1.

2.The difference between two numbers is 8. If 2 is added to the bigger number the resultwill be three times the smaller number. Find the numbers.

Answer»

required numbers are 3,11

Here, X - Y = 8 X = 8 + Y......(i)Now, A/Q X + 2 = 3Y ( 8 + Y ) + 2= 3Y 10 + Y = 3Y 2Y = 10 Y = 5From (i), X = 8 + Y = 8 + 5 = 13

•°• X = 5, Y = 13

let the smaller number be yand the bigger number be xAcc. to 1st condition x-y=8___(1)and Acc to condition 2ndx+2=3yx-3y=-2___(2)now add eq 1 and (2)..by multipling eq 1 from (_)x-3y=-2___(2)-x+y=-8___(3)

-2y=-10y=5now sub y=5 in eq (1)x-y=8__(1)x-5=8x=13

the two numbers are 13 and 5

x=5 and y=13by the method of linear eqń in two variables



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