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

Answer»

☯ 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}}}}}



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