Question

if three times the larger of two number is divided by the smaller one we get 4 as quotient and 3 AS remainder also if 7 time the smaller number is divided by the larger no. and we get 5 as a quotient and 1 as reminders find the no.

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

Answer 2

hey,hope this will help u