A number is 9 more than another number. Twice the sum of the two numbers is 10. Find the two numbers.
Mathematics · College · Tue Nov 03 2020
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Given the statement:
A number is 9 more than another number. Twice the sum of the two numbers is 10.
Determine the two numbers.
Representation:
Let x = 1st number
x + 9 = 2nd number
Solution:
Equate the two equations in one solution which will equal to 10.
(x) + (x + 9) = 10
We've used the addition sign since the statement says the sum of the numbers.
x + x + 9 = 10
In order to find the first number, we solve for the value of x, start first by transposing 9 on the other side. Note that when transposing a number the sign changes.
2x = 10 - 9
2x = 1
Divide both sides by 2 in order to find the value of x.
x = ½ or 0.5
1st number = 0.5
2nd number = 9 + 0.5
2nd Number= 9.5
Check:
x + x + 9 = 10
0.5 + 0.5 + 9 = 10
10 = 10
Final answer:
1st number = 0.5
2nd number = 9.5