हिंदी

The Ratio of Present Ages of Albert and Salim is 5 : 9. Five Years Hence Ratio of Their Ages Will Be 3 : 5. Find Their Present Ages. - Algebra

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प्रश्न

The ratio of present ages of Albert and Salim is 5 : 9. Five years hence ratio of their ages will be 3 : 5. Find their present ages.

योग
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उत्तर

Let the present ages of Albert and Salim be 5x years and 9x years, respectively.

5 years hence,

Age of Albert = (5x + 5) years

Age of Salim = (9x + 5) years

It is given that five year hence, the ratio of their ages will be 3 : 5.

`therefore (5x + 5)/(9x + 5) = 3/5`

⇒ 25x + 25 = 27x + 15

⇒ 27x - 25x = 25 - 15

⇒ 2x = 10

⇒ x = 5

∴ Present age of Albert = 5x = 5 × 5 = 25 years

Present age of Salim = 9x = 9 × 5 = 45 years

Thus, the present age of Albert is 25 years and the present age of Salim is 45 years.

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Properties of Ratio
  क्या इस प्रश्न या उत्तर में कोई त्रुटि है?
अध्याय 4: Ratio and Proportion - Practice Set 4.2 [पृष्ठ ६३]

APPEARS IN

बालभारती Mathematics 1 [English] Standard 9 Maharashtra State Board
अध्याय 4 Ratio and Proportion
Practice Set 4.2 | Q (4) (ii) | पृष्ठ ६३

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