Question

The sum of three consecutive multiples of 5 is 180. Find the numbers.​

Answer 1

• GIVEN:-

The sum of three consecutive multiples of 5 is 180.

• To Find:-

Find the numbers.

• SOLUTION:-

Let the nos be x, x+5, x+10.

According to the question,

$\large\Longrightarrow{\sf{x+x+5+x+10=180}}$

$\large\Longrightarrow{\sf{3x+15=180}}$

$\large\Longrightarrow{\sf{3x=180-15}}$

$\large\Longrightarrow{\sf{3x=165}}$

$\large\Longrightarrow{\sf{x=\huge\frac{165}{3}}}$

$\large\therefore\boxed{\sf{x=55}}$

Therefore,

The numbers are:-

x = 55

x + 5 = 55 + 5 = 60

x + 10 = 55 + 10 = 65

$\large\pink\therefore\boxed{\sf{\pink{The\: numbers\: are \:55, \:60, \:65.}}}$

Answer 2

Three consecutive multiple of 5 whose sum is 180 are 55 , 60 and 65 respectively .

Step-by-step explanation:

Given :-

• The sum of three consecutive multiples of 5 is 180 .

To find :-

• Find the numbers.

Solution :-

• Let first consecutive multiple of 5 = x
• So, Second consecutive multiple of 5 = x + 5
• Also, third consecutive multiple of 5 = x + 10

A.T.Q.

Sum of three consecutive multiples of 5 = 180

Therefore,

x + x + 5 x + 10 = 180

3x + 15 = 180

3x = 180 – 15

3x = 165

x = 165/3

x = 55

So, first consecutive multiple of 5 out of 3 whose sum is 180 = 55

Second consecutive multiple of 5 = x + 5

= 55 + 5

2nd consecutive multiple of 5 = 60

Third consecutive multiple of 5 = x + 10

= 55 + 10

Third consecutive multiple of 5 = 65

Hence, Three consecutive multiple of 5 whose sum is 180 are 55 , 60 and 65 respectively .