Question

The difference of two numbers is 19. The larger number is 8 less than 4 times the smaller number. Find the two numbers.

Answer 1

let the larger number be x and smaller number be y

1 equation

x-y=19

or x=19+y

2 equation

x=4y-8

then

putting valu of x in eqn 2nd

19+y=4y-8

19+8=4y-y

27=3y

y=9

so putting value of y in eqn 1

x= 19+9

x=28

therfore, larger number =28

smaller number =9

Explanation: