Question

if three times the larger of two number is divided by the smaller one we get 5 as quotient and 1 as remainder also if 7 times the smaller number is divided by the larger one we get 4 as quotient and 4 as 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

hope it helps