The average of two numbers is 56. If 4 is added to the smaller number, then the ratio of the new number to the other number is 1: 3. What is the smaller number?
Answer & explanation
Correct answer: option 2
Average of two numbers = 56
Sum of two number = 56 × 2 = 112
Let smaller number = a
and Bigger number = 112 - a
According to question ,
\(\frac{a + 4 }{112-a}\) = \(\frac{1}{3}\)
3aa + 12 = 112 - a
4a = 100
a = 25
So, Smaller number is = 25