Answer:
42 and 7.
Step-by-step explanation:
Let the two numbers be x and y respectively.
Translating the word problem into an algebraic expression, we have;
x * y = 294
x/y = 6
x = 6y
Substituting eqn 3 into eqn 2, we have;
6y * y = 294
6y² = 294
Dividing both sides by 6, we have;
y² = 49
Taking the square root of both sides, we have;
y = 7
To find the value of x;
x = 6y
x = 6*7
x = 42
Therefore, the two whole numbers are 42 and 7.
