The sum of two numbers is 63 . the larger number is 11 more than the smaller number. what are the numbers?

Let x equal the larger number
Let y equal the smaller number
x+y=63
x=y+11
Sub the second equation into the first equation and solve for y
y+11+y=63
2y+11=63
2y=63-11
2y=52
y=52/2
y=26
Sub y into the second equation
x=y+11
x=26+11
x=37
Hope this helps!

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KarpaT KarpaT · Answer 2 · 2022-07-19T12:48:06+02:00

The larger number is 37 and the smallest number is 26.

What is a word problem?

A word problem is a verbal description of a problem situation. It consists of few sentences describing a 'real-life' scenario where a problem needs to be solved by way of a mathematical calculation.

For the given situation,

Let the larger number be x and

Let the smaller number be y

The larger number is 11 more than the smaller number,

[tex]x=11+y[/tex] ------ (1)

The sum of two numbers is 63,

⇒ [tex]x+y=63[/tex]

Now substitute equation 1 in the above equation,

⇒ [tex]11+y+y=63[/tex]

⇒ [tex]2y=63-11[/tex]

⇒ [tex]2y=52[/tex]

⇒ [tex]y=\frac{52}{2}[/tex]

⇒ [tex]y=26[/tex]

Now x is

[tex]x=y+11[/tex]

⇒ [tex]x=26+11[/tex]

⇒ [tex]x=37[/tex]

Hence we can conclude that the larger number is 37 and the smallest number is 26.

Learn more about word problems here

brainly.com/question/20594903

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