Sum of the tow no. is 70 and the difference between them is50 find the number
Answers
Answer:
The numbers are 60 and 10
Step-by-step explanation:
Sum of two numbers = 70
Difference between them = 50
Let the two numbers be "x" and "y"
According to the question,
x + y = 70
x - y = 50
----------------
2x = 120
x = 120/2
x = 60
=> x+y = 70
60 + y = 70
y = 70 - 60
y = 10
The two numbers are 60 and 10.
Correct Question :
›»› Sum of the two number is 70 and the difference between them is 50 find the number.
________________.....
Answer :
›»› The two numbers is 60 and 10.
Given :
- Sum of the two number is 70 and the difference between them is 50.
To Find :
- The number.
Solution :
Let,
The two numbers be "x" and "y"
Sum of two number is 70.
→ x + y = 70 .......(1)
Difference between them is 50.
→ x - y = 50 ........(2)
Now,
Solving equation (1) and equation (2)
→ (x + y = 70) + (x - y = 50)
→ x + x + y - y = 50 + 70
→ 2x + y - y = 50 + 70
→ 2x = 50 + 70
→ 2x = 120
→ x = 120/2
→ x = 60
Now, put the value of x in equation (2)
→ x - y = 50
→ 60 - y = 50
→ -y = 50 - 60
→ -y = -10
→ y = 10
║Hence, the two numbers is 60 and 10.║
Verification :
→ Sum of two number = 70
→ x + y = 70
→ 60 + 10 = 70
→ 70 = 70
Here, LHS = RHS
Hence Verified !