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  • 01-12-2020
  • Mathematics
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The sum of two numbers is less than 2. If we subtract the second number from the first, the difference is greater than 1. What are the two numbers?

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ajeigbeibraheem
ajeigbeibraheem ajeigbeibraheem
  • 01-12-2020

Answer:

the value of these two numbers are 1/2 and 3/2

Step-by-step explanation:

Given that:

x+y < 2 ---- (1)

y - x > 1 ---- (2)

From equation (2), let y  > 1 + x then substitute it into equation (1)

x + 1 + x < 2

2x + 1 < 2

2x < 2 - 1

2x < 1

x < 1/2

From equation (2), replace the value of x to be 1/2

y - 1/2 > 1

y > 1 + 1/2

y > 3/2

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