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Question
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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Solution
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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