The sum of two numbers is 234560. If one number is more than other number by ten thousand ten. Find the greatest number.
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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.
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Hence,
- Adding the variables,
- Transposing 10010 from LHS to RHS, changing it's sign,
- Subtracting 10010 from 234560,
- Transposing 2 from LHS to RHS, changing it's sign,
- Dividing 224550 by 2,
- The value of x is 112275.
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So the numbers are :-
Now it is clear that :-
- 122285 > 112275.
Therefore,
- So the greater number is 122285.
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