Problems Involving Algebraic Expressions
To solve this problem, we need to represent the unknown using any variable. Form the algebraic expression using the given. Make sure to analyze the problem clearly so that the correct operation will be used. Look for clues example the word sum which means addition. Check the answers obtained by using the algebraic expressions formed.
Answer:
17 years old
Solutions:
Let: x - be Juan's age in 1989
then,
x + 1 - will be Juan's age in 1990
Given: 19xy
x - y - 6 = 0
Solve for x in terms of y.
x - y - 6 = 0
x - y - 6 + 6 = 0 + 6
x - y = 6
x = 6 + y
Substitute x = 6 + y on the equation.
x - y - 6 = 0
(6 + y) - y - 6 + 6 = 0 + 6
6 + y - y - 6 + 6 = 6
y - y = 6 - 6
y = 0
Solve for x.
x - y - 6 = 0
x - 0 - 6 + 6 = 0 + 6
x = 6
Place the values of x and y in 19xy.
1960
Add the digits of year 1960.
1 + 9 + 6 + 0 = 16
Therefore, Juan's age in 1989 is 16.
Find his age in 1990.
x + 1 = Juan's age in 1990
16 + 1 = Juan's age in 1990
17 = Juan's age in 1990
Therefore, Juan is 17 years old in 1990.
How to solve problems involving algebraic expressions: https://brainly.ph/question/9990249
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