Question

peter scored an average of 75 marks for two tests after 3rd test average increased to 81 how many marks did he get on the 3rd test

Answer 1

Answer:

93

Step-by-step explanation:

Marks in first two tests= Average*2=75*2=150……[1]

Marks in all tests=Average in three tests*3=81*3=243……[2]

From 1 and 2

Third test marks=243-150=93

So,third test marks are 93

Answer 2

Peter scored 93 marks in 3rd test

Solution:

The average is given as:

$Average = \frac{ \text { sum of marks }}{ \text{ number of tests}}$

Peter scored an average of 75 marks for two tests

Therefore,

$75 = \frac{\text{ sum of two test marks}}{2}\\\\\text{ sum of two test marks} = 75 \times 2\\\\\text{ sum of two test marks} = 150$

After 3rd test average increased to 81

$81 = \frac{ \text{ sum of 3 test marks }} {3}\\\\\text{ sum of 3 test marks } = 81 \times 3\\\\\text{ sum of 3 test marks } = 243\\\\150 + third\ test\ mark = 243\\\\third\ test\ mark = 243 - 150\\\\third\ test\ mark = 93$

Thus, he scored 93 in 3rd test

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