Question

Solve for x :
a. 7/6=x/36
b. 10/8=4/x
c. x/60=9/10​

Answer 1

Step-by-step explanation:

a. 42

b. 5/16

c.54 are the answers

Answer 2

☯ To FinD :

We have to find the value of x in all the cases.

$\rule{150}{2}$

☯ SolutioN :

Question (1) : $\sf{ \frac{7}{6} = \frac{x}{36}}$

$\sf{\dashrightarrow \frac{7}{6} = \frac{x}{36}}$

➳ By cross multiplication

$\sf{\dashrightarrow x = \frac{7 \times \cancel{36}}{\cancel{6}}} \\ \\ \sf{\dashrightarrow x = 7 \times 6} \\ \\ \sf{\dashrightarrow x = 42} \\ \\ \Large{\implies{\boxed{\boxed{\sf{x = 42}}}}}$

$\rule{150}{2}$

Question (2) : $\sf{ \frac{10}{8} = \frac{4}{x}}$

$\sf{\dashrightarrow \frac{10}{8} = \frac{4}{x}}$

➳ By cross multiplication

$\sf{\dashrightarrow x = \frac{8 \times \cancel{4}}{\cancel{10}}} \\ \\ \sf{\dashrightarrow x = \frac{8 \times 2}{5}} \\ \\ \sf{\dashrightarrow x = \frac{16}{5}} \\ \\ \sf{\dashrightarrow x = 3.2} \\ \\ \Large{\implies{\boxed{\boxed{\sf{x = 3.2}}}}}$

$\rule{150}{2}$

Question (3) : $\sf{\dashrightarrow \frac{x}{60} = \frac{9}{10}}$

$\sf{\dashrightarrow \frac{x}{60} = \frac{9}{10}}$

➳ By cross multiplication

$\sf{\dashrightarrow x = \frac{9 \times \cancel{60}}{\cancel{10}}} \\ \\ \sf{\dashrightarrow x = 9 \times 6} \\ \\ \sf{\dashrightarrow x = 54} \\ \\ \Large{\implies{\boxed{\boxed{\sf{x = 54}}}}}$