11.A natural number has been divided into two parts in the ratio 7: 11. If the difference between the two parts is 20, find the number and the two parts.
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Let the common multiple be x
Let the common multiple be xThen,
Let the common multiple be xThen,According to given question,
Let the common multiple be xThen,According to given question,11x−7x=20
Let the common multiple be xThen,According to given question,11x−7x=20⇒4x=20
Let the common multiple be xThen,According to given question,11x−7x=20⇒4x=20⇒x=5
Let the common multiple be xThen,According to given question,11x−7x=20⇒4x=20⇒x=5Therefore
Let the common multiple be xThen,According to given question,11x−7x=20⇒4x=20⇒x=5ThereforeThe first number =7x=7×5=35
Let the common multiple be xThen,According to given question,11x−7x=20⇒4x=20⇒x=5ThereforeThe first number =7x=7×5=35Second number is =11x=11×5=55
Let the common multiple be xThen,According to given question,11x−7x=20⇒4x=20⇒x=5ThereforeThe first number =7x=7×5=35Second number is =11x=11×5=55Then the total is 11x+7x=18x=18×5=90
Let the common multiple be xThen,According to given question,11x−7x=20⇒4x=20⇒x=5ThereforeThe first number =7x=7×5=35Second number is =11x=11×5=55Then the total is 11x+7x=18x=18×5=90Hence, this is the answer.
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