Answer:
The value of two numbers is x=49 and y=26 and the corresponding equation for the given condition is x +y =75
Explanation:
Given:
Sum of two numbers is 75
One number is 23 more than other
To find:
Frame the equation for the above condition and find the value of two numbers.
Solution:
From the given we know that the sum of two numbers is 75
Let x and y be the numbers, such that the equation is framed as
x +y =75
And we also know that one number is 23 more than other, so we can say either x or y has a greater one
Here I say x is 23 more than y such that,
x=23+y
Substitute the value of x in the equation and we know
x + y=75 and x=23+y we get,
23+y+y=75
23+2y=75
2y=75-23
2y=52
y=26
Since x=23+y as already stated we get as
x=23+26=49
Result:
Thus the equation for the above given conditions is x +y =75 and the values of two number is 49 and 26
