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The sum of three numbers is 98. If the ratio of the first to the second is 2:3 and that of the second to the third is 5:8. then the second number is

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The sum of three numbers is 98. If the ratio of the first to the second is 2:3 and that of the second to the third is 5:8. then the second number is
1). 49
2). 48
3). 30
4). 20

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2 answers

1 vote
Answered by on | Votes 1 |
Answer for this question is option 3

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2 vote
Answered by on | Votes 2 |

Let the numbers be x, y and
z. Then
x : y = 2 : 3 ; y : z = 5 : 8
$\therefore$ x : y : z = 2 × 5 : 3 × 5 : 3 × 8
= 10 : 15 : 24
Sum of the ratios
= 10 + 15 + 24 = 49
$\therefore$ The second number,

$\frac{15}{49}\times98$=30




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