The sum of two numbers is 37. The smaller is 17 less than the larger number. What are the numbers?
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Let the numbers be x and y such that y > x.
Given that the sum of the numbers is 37.
==> x + y= 37 ..............(1)
Also, we are given that the smallerĀ (x) is 17 less that the larger (y).
==> y= x-17 .................(2)
Now we will substitute with (2) into (2).
==> x + y= 37
==> x+ (x-17)= 37
==> 2x -17 = 37
==> 2x = 54
==> x = 54/2 = 27
==> y= 27-17 = 10
Then, the numbers are 27 and 10.
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For this problem use the equation
x - 17 + x = 37 with " x " representing the larger numberĀ
Now combine the like terms ( the like terms are " x " with " x " ) By combining the like terms, you should get
2x - 17 = 37 now add 17 on both sides
By adding, you should get
2x = 54 now divide by 2 on both sides
By dividing, you should get
x = 27 which is your answer for the larger number
Now use this equation to solve the answer for the smaller number
27 - 17 = smaller number
So your answer is larger number is 27 and the smaller number is 10
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