One number is 10 more than twice another. their sum is 1 . find the numbers.

One number is 10 more than twice another.Their sum is 1.The numbers are -3 and 4

Solution:

Given that one number is 10 more than twice the other.

Let us consider the two numbers as “x” and “y”

First number = x

Second number = y

From question, consider “y” is 10 more than twice the “x”. This can be represented  

y = 10 + 2x – eqn 1

given that the sum of numbers is 1. Hence we get

x + y =1

substituting the value of “y” we get

x + 10 +2x = 1

3x +10 = 1

3x = -9

x = -3

substitute x = -3 in eqn 1 to get the value of “y”

y = 10 +2(-3)

y=10 – 6 = 4

hence the two numbers are -3 and 4

x=6 and x=3

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