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The sum of two numbers is 35 and their difference is 13. The numbers are
- a)24 and 11
- b)20 and 15
- c)25 and 12
- d)11 and 24
Correct answer is option 'A'. Can you explain this answer?
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Verified Answer
The sum of two numbers is 35 and their difference is 13. The numbers a...
Let the numbers be x and .y.
According to question, x+y = 35 ………(i) and x−y = 13 ………..(ii)
Adding eq. (i) and (ii), we get 2x = 48 ⇒ x = 24
Putting the value of x in eq. (i), we get 12+y = 35 ⇒ y = 13
Therefore, the numbers are 24 and 13.
According to question, x+y = 35 ………(i) and x−y = 13 ………..(ii)
Adding eq. (i) and (ii), we get 2x = 48 ⇒ x = 24
Putting the value of x in eq. (i), we get 12+y = 35 ⇒ y = 13
Therefore, the numbers are 24 and 13.
Most Upvoted Answer
The sum of two numbers is 35 and their difference is 13. The numbers a...
Explanation:
Let's assume the two numbers to be 'x' and 'y'.
Given:
- x + y = 35 (Sum of two numbers is 35)
- x - y = 13 (Difference of two numbers is 13)
We can solve these equations by elimination method.
Add the above two equations:
x + y = 35
x - y = 13
-------------
2x = 48
Divide by 2 on both sides:
2x/2 = 48/2
x = 24
Substitute the value of 'x' in any one of the above equations:
x + y = 35
24 + y = 35
y = 35 - 24
y = 11
Therefore, the two numbers are 24 and 11.
Therefore, option 'A' is the correct answer.
Let's assume the two numbers to be 'x' and 'y'.
Given:
- x + y = 35 (Sum of two numbers is 35)
- x - y = 13 (Difference of two numbers is 13)
We can solve these equations by elimination method.
Add the above two equations:
x + y = 35
x - y = 13
-------------
2x = 48
Divide by 2 on both sides:
2x/2 = 48/2
x = 24
Substitute the value of 'x' in any one of the above equations:
x + y = 35
24 + y = 35
y = 35 - 24
y = 11
Therefore, the two numbers are 24 and 11.
Therefore, option 'A' is the correct answer.
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Community Answer
The sum of two numbers is 35 and their difference is 13. The numbers a...
X+y=35 will be the first equation.
x-y=13 will be the second.
x+y=35
x-y=13
Now, (+y) and (-y) will cancel out.
Therefore, we now add the remaining equation.
Thus ending with=> 2x=48.
Now, x=48/2
x=24
Substitute x in either of the two equations to get y.
x+y=35
24+y=35
y=35-24
y=11.
Therefore, the two numbers will be 24 and 11.
x-y=13 will be the second.
x+y=35
x-y=13
Now, (+y) and (-y) will cancel out.
Therefore, we now add the remaining equation.
Thus ending with=> 2x=48.
Now, x=48/2
x=24
Substitute x in either of the two equations to get y.
x+y=35
24+y=35
y=35-24
y=11.
Therefore, the two numbers will be 24 and 11.
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