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

Substituting the value of 'y' from first equation in the second, we have

and

Therefore, the numbers are 7 and 42.
Thus, the answer is (c) 7 and 42.