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

What is the value of the expression 7–3? A.–21 B.-1/343 C.1/343 D.343
What are individual muscle cells termed?
What's 6.072 times 10(with the little 3 in the top)PLEASE HELP
How did the new middle class transform the social structure of Great Britain during industrialization
A family of 2 adults and 3 children goes to a play. Admission cost $8 per adult and $5 per child. What expression would show the total admission cost fir the fa
This type of irony occurs when there’s a contradiction between what a character thinks is true and what the reader knows to be true — when the reader has greate
What are three consequences of World War II?
What is 37 and 1/2 simplified?
Which nation brought Japan out of international seclusion? Great Britain United States Portugal China
why is it an advantage for frogs to release large numbers of eggs and sperms?