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Solving Linear Equations Using Transpose of Terms

The sum of th...

Question

The sum of three numbers a,b and c is 174. If b:c = 9:16 and a:c = 1:4, Find out the value of b.

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Solution

The correct option is C 54
Given, b:c = 9:16 and a:c = 1:4
Multiply the ratio a:c with 4 on both the sides.
Thus, a: c= 4:16
Now, the ratio a:b:c can be expressed as 4:9:16
Given, a+b+c = 174.
Hence, 4x+9x+16x = 174.
Solving, x = 6
Thus, the value of b = 9x = 54.

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Similar questions

Q. The sum of three numbers $a, b$ and $c$ is 174. If $b : c = 9 : 16$ and $a : c = 1 : 4$ , Find out the value of $b$ .

Q. तीन संख्याओं $a, b$ और $c$ का योग 174 है। यदि $b : c = 9 : 16$ और $a : c = 1 : 4$ है, तो $b$ का मान ज्ञात कीजिए।

a, b and c

174. If b : c = 9 : 16 and a : c = 1 : 4

b

a, b

c

174

b : c = 9 : 16

a : c = 1 : 4

b

a_{1}, a_{2}, a_{3}, a_{4}

b

b + 4 \sum K = 1 a_{K} = 8

b^{2} + 4 \sum K = 1 a_{K}^{2} = 16

b

∣ ∣ ∣ ∣ \begin{matrix} 6 & 6 a 2 & a 5 & 5 b 2 & b 4 & 4 c 2 & c \end{matrix} ∣ ∣ ∣ ∣

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