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.
⇒\(x = 6y\) .....[1]
and
\(x -y = 35\) .....[2]
Substitute equation [1] into [2] we get;
\(6y-y = 35\)
Combine like terms;
\(5y = 35\)
Divide both sides by 5 we get;
y = 7
Substitute the value of y =7 in [1] we get;
\(x = 6(7) = 42\)
Therefore, the two numbers are: 42 and 7
