Question

3:17::45:x. find value of x​

Answer 1

3:17::45:x =

3x = 17 x 45

x = 17 x 45 / 3

x= 17 × 15 /1

x = 255

Answer 2

Answer :

x = 255

Step-by-step :

Given :

• 3 : 17 : : 45 : x

To find :

• We have to find the value of x

Solution :

To find the value of x we have to do Cross Multiplication and then after doing it we will find the value of x. So, let's solve!

$:\implies \sf 3 : 17 : \ : 45 : x \\ \\ \\ :\implies \sf \dfrac{3}{17} \nearrow\searrow \dfrac{45}{x}\\ \\ \\ :\implies \sf \dfrac{17 \times {\cancel 45 }}{\cancel{3}} \leadsto \dfrac{17 \times 15}{1} \\ \\ \\ :\implies \sf 17 \times 15 \\ \\ \\ \: \: \: \: \: \: \: \: \: \: \: :\implies \sf {\underline{\boxed{\pink{\mathfrak{x \leadsto 255}}}}}\\ \\ \\ \leadsto \ \ {\bf{\pink{3 : 17 : \ : 45 : {\boxed{\blue{255}}}}}} \\ \\ \\ \therefore \: \: \: {\sf{\underline{Verification}}}\\ \\ \\ :\implies \sf \dfrac{3}{17} = \dfrac{45}{255}\\ \\ \\ :\implies \sf (We \ can't \ reduce \ \dfrac{3}{17} \ so \ we \ will \ reduce \ \dfrac{45}{255}) \\ \\ \\ :\implies \sf \dfrac{45}{255} \  \div \ \dfrac{5}{5} \leadsto \dfrac{9}{51}\\ \\ \\   :\implies \sf \dfrac{9}{51} \ \div \ \dfrac{3}{3} \leadsto \dfrac{3}{17} \\ \\ \\  :\implies \dfrac{3}{17} = \dfrac{45}{255}\\ \\ \\ \therefore {\sf{\underline{Both \ are \ equal \ so \ our \ answer \: is \: correct \ \checkmark}}}$

•°• Hence, verified! that the x is 255

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