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The sum of two numbers is 19, while the difference between the two numbers is 3. Find the smaller number out of these two numbers.
  • a)
    9
  • b)
    7
  • c)
    8
  • d)
    11
Correct answer is option 'C'. Can you explain this answer?
Verified Answer
The sum of two numbers is 19, while the difference between the two num...
Given:- Sum of numbers = 19, difference between two numbers = 3
To find:- Smaller number
Concept used:- Finding solutions of equations
Calculations:- Let the two numbers be a and b, where a > b
Sum of numbers = 19
⇒ a + b = 19 --------------------(i)
Difference between numbers = 3
⇒ a - b = 3 ----------------------(ii)
on subtracting the equation (ii) from (i),
⇒ (a + b) - (a - b) = 19 - 3
⇒ 2b = 16
⇒ b = 8 (smaller number)
.·. The smaller number out of the given two numbers is 8.
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Most Upvoted Answer
The sum of two numbers is 19, while the difference between the two num...
Given:- Sum of numbers = 19, difference between two numbers = 3
To find:- Smaller number
Concept used:- Finding solutions of equations
Calculations:- Let the two numbers be a and b, where a > b
Sum of numbers = 19
⇒ a + b = 19 --------------------(i)
Difference between numbers = 3
⇒ a - b = 3 ----------------------(ii)
on subtracting the equation (ii) from (i),
⇒ (a + b) - (a - b) = 19 - 3
⇒ 2b = 16
⇒ b = 8 (smaller number)
.·. The smaller number out of the given two numbers is 8.
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Community Answer
The sum of two numbers is 19, while the difference between the two num...
Given:- Sum of numbers = 19, difference between two numbers = 3
To find:- Smaller number
Concept used:- Finding solutions of equations
Calculations:- Let the two numbers be a and b, where a > b
Sum of numbers = 19
⇒ a + b = 19 --------------------(i)
Difference between numbers = 3
⇒ a - b = 3 ----------------------(ii)
on subtracting the equation (ii) from (i),
⇒ (a + b) - (a - b) = 19 - 3
⇒ 2b = 16
⇒ b = 8 (smaller number)
.·. The smaller number out of the given two numbers is 8.
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The sum of two numbers is 19, while the difference between the two numbers is 3. Find the smaller number out of these two numbers.a)9b)7c)8d)11Correct answer is option 'C'. Can you explain this answer?
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