The sum of two numbers is 62. The smaller number is 18 less than the number.what are the numbers ?
Mathematics · College · Sun Jan 24 2021
Answered on
Given the statement:
The sum of two numbers is 62. The smaller number is 18 less than the number.
Determine the numbers.
Solution:
Let x = larger number
x - 18 = smaller number
Equate the given representation in a solution with an equal of 62.
x + ( x - 18) = 62
x + x - 18 = 62
Transpsoe -18 on the other side of the equation, hence we must take note that in transposing a number, the sign changes.
2x = 62 + 18
2x = 80
Divide both sides by 2 in order to determine the value of x.
2x/2 =80/2
x = 40
Larger number = 40
Smaller number = 40 -18
Smaller number = 22
Final answer:
Larger number = 40
Smaller number = 22