Answer:
18 and 35
Step-by-step explanation:
Let the two numbers be x and y, where x is the larger number and y is the smaller one.
We are given that the sum of these two number is 53, which can be written as:
[tex]x+y= 53[/tex] --- (i)
Now, the larger number x is 1 less than 2 times the smaller number y. So we can write it as:
[tex]x=2y-1[/tex] --- (ii)
Substituting the value of x in (i) to get:
[tex](2y-1)+y=53[/tex]
[tex]3y=54[/tex]
[tex]y=18[/tex]
Put this value of y in (i) to find x:
[tex]x+y= 53[/tex]
[tex]x=53-18[/tex]
[tex]x= 35[/tex]
Therefore, the two numbers are 18 and 35.
