Answer: The answer is (c) 7 and 42.
Step-by-step explanation: We are given that one number is six times another number and their difference is 35. We are to find the two numbers.
Let 'x' and 'y' be the two numbers. Then, we have
[tex]y=6x,\\\\y-x=35.[/tex]
Substituting the value of 'y' from first equation in the second, we have
[tex]6x-x=35\\\\\Rightarrow 5x=35\\\\\Rightarrow x=7,[/tex]
and
[tex]y=6\times 7=42.[/tex]
Therefore, the numbers are 7 and 42.
Thus, the answer is (c) 7 and 42.
