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26-05-2021
Mathematics

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One number exceeds another by 20 . The sum of the numbers is 78. What are the numbers

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26-05-2021

Answer: 2 numbers are 19 and 39

Step-by-step explanation:

y = x + 20

Equation: x + y + 20 = 78

⇔ x + y = 78 - 20

⇔ x + y = 58

⇔ y = 58 - x

So, we have:

x + 20 = 58 - x ( = y)

⇔ x + x = 58 - 20

⇔ 2x = 38

⇔ x = 19

⇒ y = x + 20 = 19 + 20 = 39

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