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If a : b = 3 : 1 and b : c = 5 : 1 then find the value of a27bc - Algebra

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प्रश्न

If a : b = 3 : 1 and b : c = 5 : 1 then find the value of `a^2/ (7bc)`

योग

उत्तर

a : b = 3 : 1

`therefore a/b = 3/1 ⇒ a = 3b`  ...(1)

b : c = 5 : 1

`b/c = 5/1 ⇒ b = 5c`   ...(2)

From (1) and (2), we have

a = 3 × 5c = 15c

 `a^2/ (7bc)`

= `(15c)^2 / (7 xx 5c xx c)`

= `225/35`

= `45/7`

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Comparison of Ratios
  क्या इस प्रश्न या उत्तर में कोई त्रुटि है?
अध्याय 4: Ratio and Proportion - Practice Set 4.2 [पृष्ठ ६४]

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बालभारती Algebra (Mathematics 1) [English] 9 Standard Maharashtra State Board
अध्याय 4 Ratio and Proportion
Practice Set 4.2 | Q (5) (ii) | पृष्ठ ६४
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