The sum of two natural numbers is 500. If they differ by 100 then find out the greater number?
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➤ Answer
- The greatest number = 300.
➤ Given
- Sum of two natural number is 500 and they differ by 100.
➤ To Find
- The greater number.
➤ Step By Step Explanation
Let us consider the numbers be x and y.
Then,
Sum of two natural number will be x + y = 500 and there difference will be x - y = 100
Now, let x + y = 500 be equation 1 and x - y be equation 2.
Let's solve this pair of linear equation in two variable to find the value of x and y.
➠ Value of x.
➠ By substituting the value
Let's substitute the value of x in 2nd equation.
Hence, x = 500 - y => 300.
We can observe that 300 > 200 => x > y
➵ Therefore, the greatest number = 300.
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