The average of six integers is 48. The average of the first five integers is 70% of the sixth integer. The sixth integer is.
Answer & explanation
Correct answer: option 1
Lets assume 6th integer be x
\(\frac{Sum\:of\:first\:5\:integers}{5}\) = 0.70x
Sum of 1st 5 integers = 3.5x
Average of 6 integers = 48
\(\frac{(Sum\:of\:5\:integers\:+\:6th\:integer )}{6}\) = 48
⇒ (3.5x + x) = 48 x 6
⇒ 4.5x = 288
⇒ x = 64