Question

if three times the larger of the two numbers is divided by the smaller then the quotient is 4 and remainder is 5 if 6 times the smaller is divided by the larger the quotient is 4 and the remainder is 2 find the numbers​

Answer 1

Answer:

x = 19 and y = 13

Step-by-step explanation:

let x > y

3x/y =4 5/y

3x/y = (4y + 5)/y

3x = 4y + 5

3x - 4y = 5 - I

6y/x = 4 2/x

6y/x =( 4x + 2)/ x

6y = 4x + 2

-4x + 6y = 2 - II

Subtracting II × 3 from I × 4,

12x - 16y = 20

+ -12x + 18y = 6

------------------

2y = 26

I.e. y = 13

3x - 4y = 5

3x - 52 = 5

3x = 5 + 52

3x = 57

i.e. x = 57/3 = 19

i.e. x = 19 and y = 13