- #1

zak100

- 462

- 11

## Homework Statement

If the average (arithmetic mean) of 3a and 4b is less than 50, and a is twice b, what is the largest possible integer value of a?

## Homework Equations

Avg of two variables is:

(a+b)/2

## The Attempt at a Solution

(3a + 4b)/2 < 50

3a + 4b <100

Now try out values such a = 2b

I) a= 10 & b=20

3(10) + 4(20) <100

30 + 80 <100

110<100 false

2) a=9 & b = 18

3(9) + 4(18)

27 + 72

99

but this answer is not correct. Some body please guide me.

Zulfi.