karisburns karisburns
  • 25-04-2022
  • Mathematics
contestada

The sum of two numbers is 53 The larger number is 11 more than the smaller number. What are the numbers?

Respuesta :

mreyes98 mreyes98
  • 25-04-2022

Answer:

21 and 32 are the numbers

Step-by-step explanation:

Let assume that the the two numbers are X and Y and that X is the large number.

According to the question,

X + Y = 53 .................. Equation 1

then,  X = 11 + Y........... Equation 2

Substitute equation 2 into equation 1.

[11 + Y] + Y = 53

11 + 2Y = 53

2Y = 53 - 11 = 42

2Y = 42

Y = 42 / 2 = 21,

Therefore, Y = 21 [Small number].

According to equation 1,

X +Y = 53

X + 21 = 53

X = 53 - 21 = 32.

Therefore, X = 32 [Big number]

Answer Link

Otras preguntas

find the inverse of the function f(x)=5x-2/3x+4
After World War I, President Woodrow Wilson played a role in shaping the treaty of Versailles. Despite President Woodson’s efforts, the United States Senate ref
What is the value of x? Enter your answer in the box. units
in transcription what molecules and cell organelles are involved
What is Nick's last promise to Gatsby A) To call him on the phone B)To have lunch with him C)To arrange another meeting with Daisy
can someone help me with this please?
What is the least amount of sap any one tree produced
which of the following correctly describes the relationship between supply and demand A)when supply increase, demand also increases B)when supply increase, dem
Name an angle supplementary to angle 5
By the 1850s, the South was totally committed to a society based on: A. rice and indigo B. cotton and slaves C. slaves