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The sum of two numbers is 53. The larger number is 1 less than 2 times the smaller. What are the two numbers?



20 and 33


19 and 34


18 and 35


17 and 36

Respuesta :

18 and 35 the answer

x+(2x-1)=53
3x=54
x=18(small one)

2(18)-1=35(the large one)
alinakincsem

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.