Question

of three numbers whose average is 60. the first is 1/4th of the sum of the others. what is first number?​

Answer 1

Answer:

36

Step-by-step explanation:

Let the three numbers be a,b and c

Given:

• (a + b + c)/3 = 60
• a = 1/4(b + c)

Solution:

a + b + c = 60×3

a + b + c = 180

b + c = 180 - a

b + c = 180 - 1/4(b + c)

b + c + (b + c)/4 = 180

(4b + 4c + b + c)/4 = 180

5b + 5c = 720

5(b + c) = 720

b + c = 720/5

b + c = 144 --->(1)

a = 1/4(b + c) (Given)

a = 1/4(144). ( from (1))

a = 36