Question

The sum of three numbers is 84
The second number is 2 times the first.
The third number is 16 less than the second.
What is the second number?

Answer 1

Answer:

second number is 40

Step-by-step explanation:

let the first number be X

a/c

second is 2 times the first number

therefore it's 2x

3rd number is 16 less than second

therefore it's 2x-16

now

X+2X+2X-16=84

5X=100

X=20

second number is 2x

= 2•20

=40

Answer 2

$\bf{ \underline{ \: \: Given :}}$

• The sum of three numbers = 84 .

Let, the first number be x.

• The second number is 2 times of the first .

→ Second number will be 2x.

• The third number is 16 less than the second

→ Third number will be 2x – 16.

$\bf{ \underline{ \: \: To find :}}$

• Second number...

★ The sum of three numbers = 84

$\rightarrow \: \bf{x + 2x + 2x - 16 = 84} \\ \\ \rightarrow \: \bf{5x - 16 = 84}\\ \\ \rightarrow \: \bf{5x = 84 + 16}\\ \\ \rightarrow \: \bf{x = \dfrac{100}{5} }\\ \\ \rightarrow \: \boxed{ \bf{x = 20}}$

★ Second number = 2x

$\rightarrow \: \bf{second \: number = 2 \times 20}\\ \\ \rightarrow \: \red{\boxed{\bf{ \blue{second \: number =40}}}}$