Question

If two times the larger of the two number is divided by the smaller one week 84 as quotient and 3 as remainder also if seven times the smaller number is divided by the larger one we get file content and one is remainder find the numbers

Answer 1

Let larger number be x
and smaller number be y
First condition
Dividend = divsor * quotient + remainder
3x= y*4+3
3x=4y+3
3x-4y=3
second condition
7y=5x+1
7y-5x=1
3 x -4 y = 3 .............1

-5 x + 7 y = 1 .............2
Eliminate y
multiply (1)by 7
Multiply (2) by 4
21 x -28 y = 21
-20 x + 28 y = 4
Add the two equations
1 x = 25
/ 1
x = 25
plug value of x in (1)
3 x -4 y = 3
75 -4 y = 3
-4 y = 3 -75
-4 y = -72
y = 18 1
x= 25
y= 18

Read more on Brainly.in - https://brainly.in/question/2327960#readmore