Question

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?
(B) 10
(D) 19
(A) 9​

Answer 1

given a =2b

b=a\2•••••••••1

a×50

and mean of 3 a+4b<50

or3a+4b

putting b=a/2 from 1

3a+2a<

5a<100

a<100

also as a = 2b then is a even

thus largest possible integar number

Thanks ❤️