Question

34
4. The average of three numbers is 50. The second number is greater than the first
by 3 but smaller than the third by 9. Find the second number.
(1) 45 (2) 48
(3) 50 (4) 39


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Answer 1

Question:-

• The average of three numbers is 50. The second number is greater than the first
• by 3 but smaller than the third by 9. Find the second number.

To Find:-

• Find the second number.

Solution:-

Let the second number be x

• First number be x - 3

• Third number be x + 9

According to the Question:-

$\sf\longrightarrow \: \dfrac { x + x - 3 + x + 9 } { 3 } = 50$

$\sf\longrightarrow \: 3x + 6 = 50 \times 3$

$\sf\longrightarrow \: 3x = 150 - 6$

$\sf\longrightarrow \: 3x = 144$

$\sf\longrightarrow \: x = \cancel\dfrac { 144 } { 3 }$

$\sf\longrightarrow \: x = 48$

Hence ,

• Second number is 48