the smaller of the two numbers whose sum is 26 and the difference is 6 is 10
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The smaller of the two numbers whose sum is 26 and the difference is 6 is 10.
Step-by-step explanation:
Let the numbers be x and y
Let x be the smaller number
Given that the sum of the numbers = 26
∴x + y = 26
⇒ y = 26 - x
Given that the difference of the numbers = 6
∴ y - x = 6
(26 - x) - x = 6
26 - 2x = 6
-2x = 6 - 26
-2x = -20
2x = 20
x =
= 10
Therefore the smaller of the two numbers whose sum is 26 and the difference is 6 is 10.
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