Math, asked by shammasana123, 7 days ago

The sum 2 numbers is 64. The second number is 16 less than the first. Find the numbers.
(Please answer with steps)

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Answers

Answered by Anonymous
16

Answer:

Given :-

  • The sum of two numbers is 64.
  • The second number is 16 less than the first.

To Find :-

  • What are the numbers.

Solution :-

Let,

\mapsto \bf First\: Number =\: x

\mapsto \bf Second\: Number =\: x - 16

According to the question,

\bigstar The sum of two numbers is 64.

\small \implies \bf \bigg[First\: Number\bigg] + \bigg[Second\: Number\bigg] =\: 64\\

\implies \sf x + (x - 16) =\: 64

\implies \sf x + x - 16 =\: 64

\implies \sf 2x =\: 64 + 16

\implies \sf 2x =\: 80

\implies \sf x =\: \dfrac{\cancel{80}}{\cancel{2}}

\implies \sf\bold{\purple{x =\: 40}}

Hence, the required numbers are :

\clubsuit\: \: \sf\bold{\green{First\: Number\: :-}}

\leadsto \sf First\: Number =\: x

\leadsto \sf\boxed{\bold{\red{First\: Number =\: 40}}}

\clubsuit \: \: \sf\bold{\green{Second\: Number\: :-}}

\leadsto \sf Second\: Number =\: x - 16

\leadsto \sf Second\: Number =\: 40 - 16

\leadsto \sf\boxed{\bold{\red{Second\:  Number =\: 24}}}

\therefore The numbers are 24 and 40.

Answered by ashokyash79
1

Answer:

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