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सी.आई.एस.सी.ई.आयसीएसई ICSE Class 7

The Sum of Three Numbers, Whose Ratios Are 3 1/3 : 4 1/5 : 6 1/8 is 4917. Find the Numbers. - Mathematics

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प्रश्न

The sum of three numbers, whose ratios are `3 1/3 : 4 1/5 : 6 1/8` is 4917. Find the numbers.

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उत्तर

Sum of three numbers = 4917

Ratio between them = `3 1/3 : 4 1/5 : 6 1/8`

= `3 1/3 : 4 1/5 : 6 1/8 = 10/3 : 21/5 : 49/8`

= LCM of denominators 3, 5, and 8 is 120.

= `(10.120)/3 : (21.120)/5 : 49.120/8`

= 10.40 : 21.24 : 49.15

Multiplication of the above Numbers, we will get this,

= 400 : 504 : 735

Sum of ratio's = 400 + 504 + 735 = 1639

∴ First number = `400/1639` of 4917 = 1200

Second number = `504/1639` of 4917 = 1512

and third number = `735/1639` of 4917 = 2205

Therefore, the first, second, and third number is 1200, 1512, and 2205 respectively.

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पाठ 6: Ratio and Proportion (Including Sharing in a Ratio) - Exercise 6 (A)

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सेलिना Concise Mathematics [English] Class 7 ICSE
पाठ 6 Ratio and Proportion (Including Sharing in a Ratio)
Exercise 6 (A) | Q 6
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