find the number which when added to each term of the ratio 27:35, changes the ratio to 4:5.
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Answer:
5
Step-by-step explanation:
Given : 27:35
Let the number added be x.
According to the question :
[27 + x] ÷ [35 + x] = 4 ÷ 5
=> [27 + x] × 5 = [35 + x] × 4
=> [(27 × 5) + 5x] = [(35×4) + 4x]
=> [135 + 5x] = [140 + 4x]
Transform 135 to RHS Side and 4x to LHS Side
=> 5x - 4x = 140 - 135
=> x = 5
Therefore , X = 5
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