Question

which of the following represent equals ab = 64. a)8:a = 8:b b) a:16 = b:4 c) a:8 = b:8 d) 32:a = b:2​

Answer 1

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Question :

•Which of the following represents equal ab=64

$\large\sf{\color{red} ANSWER :}$

☑ Check the options given :

$\sf \: (a) \large\frac{8}{a} = \frac{8}{b}$

$\implies \sf \large \: 8b = 8a$

$\implies \sf \large \: \frac{b}{a} = 1 \: \: \: \: i.e \: b = a$

$\therefore \sf \: here \: ab \ne64$

$\sf \large \: (b) \frac{a}{16} = \frac{b}{4}$

$\implies \large \sf \: 4a = 16b$

$\implies \large \sf \: a = 4b$

$\therefore \sf \large \: here \: ab \ne64$

$\large \sf \: (c) \: \frac{a}{8} = \frac{b}{8}$

$\implies \large \sf \: a = b$

$\therefore \sf \: here \: ab \ne \: 64$

$\sf \: (d) \large \: \frac{32}{a} = \frac{b}{2}$

$\: \implies \sf \large \: ab = 64$

$\boxed{ \boxed{ \underline{ \bf{ \therefore \: correct \: answer \: will \: be \: option \: (d) \: \frac{32}{a} = \frac{b}{2} }}}}$

Answer 2

(a) ⁸/a=⁸/b

8b=8a

∴here a b is not equal to 64

a/16=b/ 4

4a=16b

a/8= b/ 8

a= b

∴hereabi 64

32/ a b/2

ab= 64

hope it helps dear

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