Math, asked by paridapratyush96, 3 months ago

The sum of two numbers is 234560. If one number is more than other number by ten thousand ten. Find the greatest number.​

Answers

Answered by TwilightShine
10

Answer :-

  • The greater number is 122285.

Given :-

  • The sum of two numbers is 234560.
  • One number is more than the other number by ten thousand ten.

To find :-

  • The greater number.

Step-by-step explanation :-

  • Let one of the numbers be x.

  • Then the other number will be x + 10010, since it is more than the first number by ten thousand ten.

  • Their sum is 234560.

----------------------

Hence,

\longmapsto\sf x + x + 10010 = 234560

  • Adding the variables,

\longmapsto\sf 2x + 10010 = 234560

  • Transposing 10010 from LHS to RHS, changing it's sign,

\longmapsto\sf 2x = 234560 - 10010

  • Subtracting 10010 from 234560,

\longmapsto\sf 2x = 224550

  • Transposing 2 from LHS to RHS, changing it's sign,

\longmapsto\sf x = \dfrac{224550}{2}

  • Dividing 224550 by 2,

\overline{\boxed{\longmapsto\sf x = 112275}}

  • The value of x is 112275.

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So the numbers are :-

\bf x = 112275.

\bf x + 10010 = 112275 + 10010 = 122285.

Now it is clear that :-

  • 122285 > 112275.

Therefore,

  • So the greater number is 122285.
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