Answer:
The two numbers are: 42 and 7
Step-by-step explanation:
let x be the one number and y be the other number..
As per the statement:
One number is six times another number. Their difference is 35.
⇒[tex]x = 6y[/tex] .....[1]
and
[tex]x -y = 35[/tex] .....[2]
Substitute equation [1] into [2] we get;
[tex]6y-y = 35[/tex]
Combine like terms;
[tex]5y = 35[/tex]
Divide both sides by 5 we get;
y = 7
Substitute the value of y =7 in [1] we get;
[tex]x = 6(7) = 42[/tex]
Therefore, the two numbers are: 42 and 7
