Stephanie weighs 3 times as much as Rachel. Both weights are whole numbers and the sun of their weights is less than 160 pounds. Find the greatest weight of each girl.

The weight of Rachel is less than 40 Pounds.

The weight of Stephanie is less than 120 Pounds

Step-by-step explanation:

Sum of both both their weights is less than 160 pounds.

Let the weight of Rachel = k Pounds

⇒The weight of Stephanie = (3k) pounds

Now, according to the question:

k + 3k < 160

or, 4k < 160

⇒ k < 160 / 4 = 40

or, k < 40

⇒ The weight of Rachel is less than 40 Pounds.

and The weight of Stephanie is less than (3 k = 3 x 40) 120 Pounds