High School

A number is fifteen more than five times another number. Their difference is one hundred eleven. What are the numbers?

Answer :

Numbers which represents the given condition are [tex]24[/tex]and [tex]135[/tex].

What is number?

" Number is defined as the count of the given quantity as per the given condition."

According to the question,

[tex]'x'[/tex] represents the first number

As per the condition we have,

Second number [tex]= 5x + 15[/tex]

Substitute the numbers in the given condition we get,

[tex]5x+15-x=111[/tex]

Simplify it to get the value of [tex]'x'[/tex]

[tex]4x + 15 = 111\\\\\implies 4x = 96\\\\\implies x = 24[/tex]

Substitute the value of [tex]'x'[/tex] to get second number,

[tex]5 (24) +15\\\\= 135[/tex]

Hence , numbers which represents the given condition are [tex]24[/tex]and [tex]135[/tex].

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Answer:

24 and 135

Step-by-step explanation:

let x and y represent the numbers

x=15+5y

x-y=111

making x the subject in equation 2

x=111+y put into eqn 1

111+y=15+5y

-4y=-96 y=24

x=15+5(24)

x=135