Math, asked by hansikanagle, 1 month ago

the sum of two numbers is 37, there difference is 23, the greater no is ​

Answers

Answered by AestheticSoul
5

Required Answer :

The greater number = 30

Given :

  • The sum of two numbers = 37
  • The difference of two numbers = 23

To find :

  • The greater number

Solution :

Let the two numbers be x and y.

  • Greater number = x
  • Smaller number = y

According to the first condition,

⇒ Greater number + Smaller number = 37

⇒ x + y = 37 -------(1)

According to the second condition,

⇒ Greater number - Smaller number = 23

⇒ x - y = 23 --------(2)

Solving equation (1) and (2) :

⠀⠀⠀⠀⠀⠀⠀⠀⠀x + y = 37

⠀⠀⠀⠀⠀⠀⠀⠀⠀x - y = 23

⠀⠀⠀⠀⠀⠀⠀⠀⠀-⠀+⠀⠀-

⠀⠀⠀⠀⠀⠀⠀____________

⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀2y = 14

⠀⠀⠀⠀⠀⠀⠀____________

⇒ 2y = 14

⇒ y = 14/2

⇒ y = 7

Substituting the value of y in equation (1) :

⇒ x + y = 37

⇒ x + 7 = 37

⇒ x = 37 - 7

⇒ x = 30

Therefore,

  • The smaller number = y = 7
  • The greater number = x = 30
Answered by paru8389
1

Answer:

hiii

her is your answer

have a good day!

Step-by-step explanation:

y=7

X=30

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