the sum of two numbers is 37, there difference is 23, the greater no is
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Answered by
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
1
Answer:
hiii
her is your answer
have a good day!
Step-by-step explanation:
y=7
X=30
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