Math, asked by gmchandresh, 5 months ago

Two numbers are in the ration 4:3. If they differ by 18, find these numbers.
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Answers

Answered by Anonymous
6

Answer :-

  • 1st Number = 72.
  • 2nd Number = 54.

Explanation :-

Given :

  • Two numbers are in ratio 4:3.
  • Their Difference = 18.

To Find :

  • Both the numbers.

Solution :

Let the numbers be 4x and 3x.

It is Given that, They differ by 18.

According to the Question,

➝ 4x – 3x = 18.

➝ x = 18.

Hence, The Numbers are :-

  • 4x = 72.
  • 3x = 54.

Verification :

➝ 4x - 3x = 18.

➝ 4(18) - 3(18) = 18.

➝ 72 - 54 = 18.

➝ 18 = 18.

LHS = RHS.

Hence, Verified.

Answered by Anonymous
3

Correct Question-;

  • Two numbers are in the ration 4:3. If they differ by 18, find these numbers.

AnswEr -:

\boxed{\sf{\purple {The \: numbers \:are \: 72 \: and \: 54  }}}

Explanation-:

Given ,

  • Two numbers are in ratio 4:3 .
  • Their difference is 18 .

To Find ,

  • The Numbers .

Solution-:

  • Let the number be 3x and 4 x .

Given That ,

  • Their difference is 18 .

According to the question,

\pink{\sf{\rightarrow {3x - 4x = 18 }}}

\pink{\sf{\rightarrow {x = 18 }}}

Therefore,

\boxed{\sf{\purple {x = 18 }}}

Now ,

☆ The numbers are -:

  • 1 -: 4x = 4 × 18 = 72 .
  • 2 -: 3x = 3 × 18 = 54 . ........ 1

Hence ,

  • \boxed{\sf{\purple {The \: numbers \:are \: 72 \: and \: 54  }}}

_________________________________

☆ Verification ☆

Given That ,

  • The two numbers are 72 and 54 . ........ [From 1]
  • Their difference is 18 .

\pink{\sf{\rightarrow {72 - 54 = 18 }}}

\pink{\sf{\rightarrow {18 = 18 }}}

Therefore,

\boxed{\sf{\purple {LHS = \: RHS  }}}

\boxed{\sf{\purple {Hence Verified}}}

_______________♡___________________

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