Question

Try, check, and revise or write an equation to solve:

1)-What are the two whole numbers whose product is 294 and whose quotient is 6?​

Answer 1

42 and 7.

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.