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Standard VI

Mathematics

Word Problems

If A : B = 2 ...

Question

If A : B = 2 : 3 , B : C = 4 : 5, C : D = 6 : 7 , A : D = ?

2 : 7

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7 : 8

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16 : 35

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4 : 13

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Solution

The correct option is D 16 : 35
Given
$A : B = 2 : 3,$
$B : C = 4 : 5$ and
$C : D = 6 : 7$ Hence
$\frac{A}{B} = \frac{2}{3},$
$\frac{B}{C} = \frac{4}{5}$ and
$\frac{C}{D} = \frac{6}{7}$

$\frac{A}{B} \times \frac{B}{C} \times \frac{C}{D} = \frac{2}{3} \times \frac{4}{5} \times \frac{6}{7}$
$\frac{A}{D} = \frac{16}{35}$
Hence, $A : D = 16 : 35$

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If A : B = 2 : 3 , B : C = 4 : 5, C : D = 6 : 7 , A : D = ?

The correct option is D 16 : 35GivenA:B=2:3,B:C=4:5 and C:D=6:7 Hence AB=23,BC=45 andCD=67AB×BC×CD=23×45×67AD=1635 Hence, A:D=16:35