Question

The average of the numbers 253, 245, 325, 120 and 115+2K is 212. Find the average of the numbers 353, 354, 225, 220 and 110+3K.

• A. 252
• B. 250
• C. 253
• D. 251

Answer 1

Answer:

C. 253

Use the first average

Numbers:
(253, 245, 325, 120, (115 + 2K))

Average = 212 ⇒ Total = $(212 \times 5 = 1060)$

$253 + 245 + 325 + 120 + 115 + 2K = 1060$
1058 + 2K = 1060
$\Rightarrow 2K = 2$
$\Rightarrow K = 1$

Find second average

Numbers:
(353, 354, 225, 220, (110 + 3K))

Substitute (K = 1):
$110 + 3 = 113$

Total:
353 + 354 + 225 + 220 + 113 = 1265

Average:
$\frac{1265}{5} = 253$

Final Answer: 253