Two Numbers Are In The Ratio, 3:5 If Their Difference Is 38., What Is The Bigger Number?

Two numbers are in the ratio
3:5 If their difference is 38.
What is the bigger number?

 

Answer:

The bigger number is 95.

Step-by-step explanation:

Common factor: x

Smaller number: 3x

Bigger number: 5x

Equation:

5x - 3x = 38

2x/2 = 38/2

x = 19

Substitute 19 to x:

Smaller number: 3(19) = 57

Larger number: 5(19) = 95

Check:

95 - 57 = 38

38 = 38  (True)

Ratio:

3 : 5 = 57 : 95 ⇒  simplify/lowest term by dividing both 57 and 95 by 19

3:5 = 3:5  (True)