Q30: Today, Tien’s age

October 15, 2026

2018 Test A Math · Question 30 of 57

Today, Tien’s age is $\frac{1}{4}$ of Jordan’s age. In 2 years, Tien’s age will be $\frac{1}{3}$ of Jordan’s age. How old is Jordan today?

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Correct answer: D

First, set up an equation to express Tien’s age ( $T$ ) and Jordan’s age ( $J$ ) today:

$T=frac{1}{4}J$

Two years from now, Tien’s age will be $T+2$ , and Jordan’s age will be $J+2$ .

Set up an equation about the relationship between Tien’s age and Jordan’s age in two years:

$T+2=frac{1}{3}(J+2)$

Solve the above equation for $T$ :

$T=frac{1}{3}(J+2)-2$

Now set the two equations equal to each other and solve for $J$ :

$\frac{1}{4}J=\frac{1}{3}(J+2)-2$

$12(frac{1}{4}J=frac{1}{3}(J+2)-2)12$

$3J=4(J+2)-24$

$3J=4J+8-24$

$3J=4J-16$

$16=4J-3J$

$J=16$