Question

Find the value of z. z/4+z/6-z/5=10​

Answer 1

Answer:

z = 46.15384615

Step-by-step explanation:

$\frac{z}{4} + \frac{z}{6} -\frac{z}{5} =10$

LCM of 4,6,5 is 60  

∴ $\frac{15z}{60} +\frac{`10z}{60} -\frac{12z}{60} =10\\\\\frac{15z+10z-12z}{60} =10\\\frac{13z}{60}=10\\13z=600\\z=600/13\\z= 46.15384615$

Answer 2

Answer:

• The value of z is 600/13.

Step-by-step explanation:

Given,

• $\frac{z}{4} + \frac{z}{6} - \frac{z}{5} = 10$

To Find,

• The value of z.

Solution,

$: \implies \frac{z}{4} + \frac{z}{6} - \frac{z}{5} = 10 \\ \\ : \implies \frac{30z + 20z - 24z}{120} = 10 \\ \\ : \implies 26z = 10 \times 120 \\ \\ : \implies z = \frac{1200}{26} \\ \\ : \implies z = \frac{600}{13}$

Verification,

$: \implies\frac{z}{4} + \frac{z}{6} - \frac{z}{5} = 10 \\ \\ : \implies \frac{600}{13} \times \frac{1}{4} + \frac{600}{13} \times \frac{1}{6} - \frac{600}{13} \times \frac{1}{5} = 10 \\ \\ : \implies \frac{150}{13} + \frac{100}{13} - \frac{120}{13} = 10 \\ \\ : \implies \frac{150 + 100 - 120}{13} = 10 \\ \\ : \implies130 = 130 \\ \\ : \implies LHS = RHS$

Required Answer,

• The value of z is 600/13.