sum of two nos is 125 and difference is 25 find the nos
Answers
75 and 50
Step-by-step explanation:
Let, the two numbers be x and y.
As the sum is 125,
x + y= 125 ——— i
As the difference is 25,
x - y = 25 ——— ii
Adding i and ii, we get
x + y + x - y = 125 + 25
2 x = 150
So, x = 75 ———iii
Putting eq. iii in eq. i, we get
75 + y = 125
y = 125 - 75
So. y = 50
Therefore, the two numbers are 75 and 50.
SOLUTION
GIVEN
Sum of two nos is 125
Difference is 25
TO DETERMINE
The numbers
EVALUATION
Let the numbers are a and b
By the first condition
a + b = 125 - - - - (1)
By second condition
a - b = 25 - - - - - (2)
Adding Equation 1 and Equation 2 we get
2a = 150
⇒ a = 75
From Equation 1 we get
75 + b = 125
⇒ b = 125 - 75
⇒ b = 50
FINAL ANSWER
Hence the required numbers are 75 and 50
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