Question

The average of 8 numbers is 100. The difference between the two greatest numbers is 20. Average of the remaining 6 numbers is 85. The greater number is :

• A. 135
• B. 175
• C. 155
• D. 115

Answer 1

Answer:

C. 155

\frac{S}{8}=100=> Sum = 800

\frac{S}{6}=85=>S=85 \times 6=510

$x, x-20$

$S_8=800$

$S_6+x+x-20=800$

$510+2x-20=800$

$2x=800-490$

$x=155$