Answer:
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