Q44: On the number line above

October 15, 2026

2018 Test A Math · Question 44 of 57

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On the number line above, points $W$ , $X$ , $Y$ , and $Z$ are integers, and $WX:XY:YZ = 4:2:3$ . What is the value of $WY$ ?

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Correct answer: C

Find the length of $WZ$ :

$WZ=8-(-10)=18$

Convert the ratios into fractions of $WZ$ . Use the sum of the ratios for the denominator.

$WX:XY:YZ=4:2:3$

Find $YZ$ :

$YZ=frac{3}{4+2+3}=frac{3}{9}$

Find the value of $YZ$ :

$YZ=frac{3}{9}(18)=6$

Find the value of $WY$ :

$WY=WZ-YZ$

$WY=18-6=12$