Divide 54 into two parts such that five times the smaller part is equal to four times the bigger part. Find both parts.

16, 20

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20, 25

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25, 30

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24, 30

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None of these

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Solution

The correct option is D
24, 30

Let the smaller part be x.

Then the greater part is (54 – x).

As per the problem :

$5 x = 4 (54 - x)$

$\Rightarrow 9 x = 216$

$\Rightarrow x = 24$

$∴$ Two parts are 24 and 30.

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Divide 54 into two parts such that five times the smaller part is equal to four times the bigger part. Find both parts.

The correct option is D 24, 30 Let the smaller part be x. Then the greater part is (54 – x). As per the problem : 5x=4(54–x) ⇒9x=216 ⇒x=24 ∴ Two parts are 24 and 30.

The correct option is D
24, 30

Let the smaller part be x.

Then the greater part is (54 – x).

As per the problem :

$5 x = 4 (54 - x)$

$\Rightarrow 9 x = 216$

$\Rightarrow x = 24$

$∴$ Two parts are 24 and 30.