Question

Find the value of a and YZ if Y is between X and Z. XY = 7a, YZ = 5a, XZ = 6a + 24 = YZ =​

Answer 1

• x-y-z

$\\ \sf\longmapsto XY+YZ=XZ$

$\\ \sf\longmapsto 7a+5a=6a+24$

$\\ \sf\longmapsto 12a=6a+24$

$\\ \sf\longmapsto 12a-6a=24$

$\\ \sf\longmapsto 6a=24$

$\\ \sf\longmapsto a=\dfrac{24}{6}$

$\\ \sf\longmapsto a=5$

• YZ=5a=5(5)=25