Question

please tell fast this two questions please ​

Answer 1

$\LARGE\underline{\underline{\sf{\red{Required\:answer(1):-}}}}$

Given :

• Ratio of Engineers and doctors = 2 : 5

To Find :

• Number of doctors when there are 18 engineers
• Number of engineers when there are 65 doctors

Solution :

Let the ratio constant be a. Then the number of engineers and doctors are " 2a " and " 5a ".

(a) We are given that number of engineers as 18

$\\ \implies \sf \: 2x = 18$

$\implies \sf \: x = \frac{18}{2}$

$\\ \implies \boxed{\sf {\: x = 9}}$

Then Number of doctors are ,

• 5x = 5(9) = 45

Hence , There are 45 doctors when there are 18 engineers.

(b) We are given that Number of doctors as 65.

$\\ \implies \sf \: 5x = 65$

$\\ \implies \sf \: x = \frac{65}{5}$

$\\ \implies \boxed{\sf {\: x = 13}}$

Then Number of enginners are ,

• 2x = 2(13) = 26

Hence , There are 26 engineers when there are 65 doctors.

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$\LARGE\underline{\underline{\sf{\purple{Required\:answer(2):-}}}}$

Given :

• Ratio of two angles = 3 : 1

To Find :

• Measure of Larger angle if smaller angle is 180°
• Measure of smaller angle if larger angle is 63°

Solution :

Let the ratio constant be a. Then the two angles are " 3x " and " 1x "

In these two angles 3x is the larger angle and 1x is the smaller angle

(a) We are given that measure of smaller angle as 180°

$\\ \implies \sf \: 1x = {180}^{ \circ}$

$\\ \implies \boxed{\sf {\: x = 180 {}^{ \circ} }}$

Then the other angle is ,

• 3x = 3(180) = 540°

Hence , The measure of larger angle if smaller angle is 180° is 540°.

(b) We are given that measure of larger angle as 63°

$\\ \implies \sf \: 3x = {63}^{ \circ}$

$\\ \implies \sf \: x = \frac{63}{3}$

$\\ \implies \boxed{\sf {\: x = {21}^{ \circ} }}$

Then the other angle is ,

• x = 21°

Hence , The Measure of smaller angle if larger angle is 63° is 21°.

Answer 2

Answer:

\LARGE\underline{\underline{\sf{\red{Required\:answer(1):-}}}}

Requiredanswer(1):−

Given :

Ratio of Engineers and doctors = 2 : 5

To Find :

Number of doctors when there are 18 engineers

Number of engineers when there are 65 doctors

Solution :

Let the ratio constant be a. Then the number of engineers and doctors are " 2a " and " 5a ".

(a) We are given that number of engineers as 18

\begin{gathered} \\ \implies \sf \: 2x = 18 \\ \\ \end{gathered}

⟹2x=18

\begin{gathered} \implies \sf \: x = \frac{18}{2} \\ \end{gathered}

⟹x=

2

18

\begin{gathered} \\ \implies \boxed{\sf {\: x = 9}} \\ \\ \end{gathered}

⟹

x=9

Then Number of doctors are ,

5x = 5(9) = 45

Hence , There are 45 doctors when there are 18 engineers.

(b) We are given that Number of doctors as 65.

\begin{gathered} \\ \implies \sf \: 5x = 65 \\ \end{gathered}

⟹5x=65

\begin{gathered} \\ \implies \sf \: x = \frac{65}{5} \\ \end{gathered}

⟹x=

5

65

\begin{gathered} \\ \implies \boxed{\sf {\: x = 13}} \\ \end{gathered}

⟹

x=13

Then Number of enginners are ,

2x = 2(13) = 26

Hence , There are 26 engineers when there are 65 doctors.

━━━━━━━━━━━━━━━━━━━━━━

\LARGE\underline{\underline{\sf{\purple{Required\:answer(2):-}}}}

Requiredanswer(2):−

Given :

Ratio of two angles = 3 : 1

To Find :

Measure of Larger angle if smaller angle is 180°

Measure of smaller angle if larger angle is 63°

Solution :

Let the ratio constant be a. Then the two angles are " 3x " and " 1x "

In these two angles 3x is the larger angle and 1x is the smaller angle

(a) We are given that measure of smaller angle as 180°

\begin{gathered} \\ \implies \sf \: 1x = {180}^{ \circ} \\ \end{gathered}

⟹1x=180

∘

\begin{gathered} \\ \implies \boxed{\sf {\: x = 180 {}^{ \circ} }} \\ \end{gathered}

⟹

x=180

∘

Then the other angle is ,

3x = 3(180) = 540°

Hence , The measure of larger angle if smaller angle is 180° is 540°.

(b) We are given that measure of larger angle as 63°

\begin{gathered} \\ \implies \sf \: 3x = {63}^{ \circ} \\ \end{gathered}

⟹3x=63

∘

\begin{gathered} \\ \implies \sf \: x = \frac{63}{3} \\ \end{gathered}

⟹x=

3

63

\begin{gathered} \\ \implies \boxed{\sf {\: x = {21}^{ \circ} }} \\ \end{gathered}

⟹

x=21

∘

Then the other angle is ,

x = 21°

Hence , The Measure of smaller angle if larger angle is 63° is 21°.