Question

If the compound ratio of 5:8 and 3:7 is 45:x. Find the value of x​

Answer 1

Answer :

• Value of x is 168.

Given :

• If the compound ratio of 5 : 8 and 3 : 7 is 45 : x

To find :

• Value of x

Solution :

The Compound ratio of the fraction (Given)

➟ 5/8 × 3/7

➟ 15/56

Then,

• 15/56 = 45 : x

Finding the value of x

➟ 15/56 = 45 : x

Cross multiplying we get,

➟ 15 × x = 45 × 56

➟ x = 45 × 56 / 15

➟ x = 2520/15

➟ x = 168

Hence, Value of x is 168.

Verification :

➟ 15/56 = 45 : x

➟ 15/56 = 45 : 168

➟ 15/56 = 45/168

➟ 15/56 = 15/56

Hence, Verified

Answer 2

Given :

• If the compound ratio of 5 : 8 and 3 : 7 is 45 : x.

Find :

• Value of x.

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Solution :

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• The Compound Ratio of Fraction :

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$\:\:\:\:\:\:\:\dashrightarrow\:\sf{\dfrac{5}{8}}\:\times\:{\dfrac{3}{7}}$

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$\:\:\:\:\:\:\:\dashrightarrow\:\sf{\dfrac{15}{36}}$

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Then,

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• $\sf{\bold{\dfrac{15}{56}}\:=\:{\bold{\dfrac{45}{x}}}}$

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☆ Now, Finding the Value of x :

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• By Cross - Multiplying, We Get -

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$\:\:\:\:\:\::\:\Longrightarrow\:\sf{15\:\times\:x\:=\:45\:\times\:56}$

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$\:\:\:\:\:\::\:\Longrightarrow\:\sf{x\:=\:{\dfrac{45\:\times\:56}{15}}}$

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$\:\:\:\:\:\::\:\Longrightarrow\:\sf{x\:=\:{\dfrac{2520}{15}}}$

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$\:\:\:\:\:\::\:\Longrightarrow\:\sf{x\:=\:168}$

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$\:\:\:\:\:\:\therefore\:{\underline{\sf{Hence,\: the\:Value\:of\:x\:is\:{\textsf{\textbf { 168 }}}}}}.$

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$\:\:\:\:\:\:\:\:\:\:\:\:\:\:━━━━━━━━━━━━━━━━━━$

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$\:\:{\underline{\sf{\bold{\purple{V\:E\:R\:I\:F\:I\:C\:A\:T\:I\:O\:N:}}}}}$

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• $\sf{\bold{\dfrac{15}{56}}\:={\bold{\:45\::\:x}}}$

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$\:\:\:\:\:\leadsto\:\sf{\dfrac{15}{56}}\:=\:45\::\:168$

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$\:\:\:\:\:\leadsto\:\sf{\dfrac{15}{56}}\:={\dfrac{45}{168}}$

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$\:\:\:\:\:\leadsto\:\sf{\dfrac{15}{56}}\:={\dfrac{15}{56}}$

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$\:\:\:\:\:\:\:\:\:\:\:\:\:\:\:\:\:\:\:\:{\underline{\underline{\textsf{\textbf{\pink{Hence,\:Verified\:!!}}}}}}$

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