Respuesta :
Answer:
the big number=36 the small number=20
Step-by-step explanation:
14x4=56
56+24=80
80/4=20
80-20=60
60-24=36
20+36=56
56/4=14
The required numbers are 36 and 20.
What is equation?
"It is a mathematical statement which consists of equal (=) symbol between two algebraic expressions."
For given question,
Let 'x' and 'y' be two required numbers such that x > y
Their sum divided by 4 is equal to 14.
[tex]\Rightarrow \frac{x+y}{4}=14[/tex] ...................(i)
The greater number increased by 24 equals three times the small number.
[tex]\Rightarrow x+24=3y[/tex] ..............(ii)
From equation (ii),
⇒ x = 3y - 24 ...............(iii)
Substitute this value of x in equation (i)
[tex]\Rightarrow \frac{3y-24+y}{4}=14\\\\ \Rightarrow 4y-24=14\times 4\\\\\Rightarrow 4y=56+24\\\\\Rightarrow 4y=80\\\\\Rightarrow y=20[/tex]
Substitute this value of y in equation (iii)
⇒ x = 3(20) - 24
⇒ x = 60 - 24
⇒ x = 36
Therefore, the required numbers are 36 and 20.
Learn more about equation here:
https://brainly.com/question/10413253
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