Math, asked by reoswapnil5326, 7 months ago

1.
The sum of three consecutive multiples of 5 is 180.
Find the numbers.
umbers is 246​

Answers

Answered by harshita979
1

I hope this step-by-step-solution will help you.

Attachments:
Answered by StylusMrVirus
41

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}}</p><p>

\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.}}}

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