Two numbers differs by 3. The sum of the greater numbers and twice the smaller number is 15. find the smaller Is number
Answers
Answered by
3
Step-by-step explanation:
Let the 2 required number be x and y, where x > y
According to the question
x - y = 3 _______ eqⁿ ( 1 )
x + 2y = 15_____ eqⁿ ( 2 )
eqⁿ ( 2 ) - ( 1 ) gives
x + 2y - ( x- y ) = 15 - 3
x + 2y - x + y = 12
3y = 12
y = 4
Therefore, the smaller number is 4 and the larger number is 7
Answered by
3
Given:-
- Two numbers differs by 3.
- The sum of the greater numbers and twice the smaller number is 15.
To Find:-
- Find the smaller Is number..?
Solutions:-
- Let the large number be x.
- Let the smaller number be y.
Two numbers are differ by 3.
=> x - y = 3
=> x = 3 + y .......(i).
Sum of greater number are twice the smaller number is 15.
=> x + 2y = 15 .........(ii).
Putting the value of x in Eq (ii).
=> x + 2y = 15
=> 3 + y + 2y = 15
=> 3 + 3y = 15
=> 3y = 15 - 3
=> 3y = 12
=> y = 12/3
=> y = 4
Putting the value of y in Eq (i).
=> x = 3 + y
=> x = 3 + 4
=> x = 7.
Hence, the smaller number is 4 and largest number is 7.
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