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सी.आई.एस.सी.ई.आईसीएसई ICSE Class 6

The Length of Two Ropes Are in the Ratio 7 : 5. Find the Length Of: (I) Shorter Rope, If the Longer One is 22.5 M (Ii) Longer Rope, If the Shorter is 9.8 M.

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प्रश्न

The length of two ropes are in the ratio 7 : 5. Find the length of:
(i) shorter rope, if the longer one is 22.5 m
(ii) longer rope, if the shorter is 9.8 m.

योग
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उत्तर

Length of the ropes are in the ratio = 7 : 5

(i) Let the length of shorter rope = x

Length of longer rope = 22.5 m

A.T.Q.

7 : 5 = 22.5 : x

⇒ 7x = 22.5 × 5

⇒ x = `(22.5xx5)/7`

⇒ x = 16.07 m

(ii) Let length of the longer side = x

Length of shoter rope = 9.8 m

A.T.Q.

7 : 5 = x : 9.8

⇒ 5 × x = 9.8 × 7

⇒ x = `(9.8xx7)/5`

⇒ x = 13.72 m

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