Divide 28 into two parts in such way that 6 / 5 of one part is equal to 2 / 3 part of other?
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Answered by
26
Let one part be x.
Then other part = 28 - x
It is given 6/5 of one part = 2/3 of the other.
⇒ 6/5x = 2/3(28 - x)
⇒ 3x/5 = 1/3(28 - x)
⇒ 9x = 5(28 - x)
⇒ 9x = 140 - 5x
⇒ 9x + 5x = 140
⇒ 14x = 140
⇒ x = 140/14
⇒ x = 10
Then the two parts are 10 and 28 - 10 = 18.
Answered by
4
Answer:
Step-by-step explanation:
Let one part be x.
Then other part = 28 - x
It is given 6/5 of one part = 2/3 of the other.
⇒ 6/5x = 2/3(28 - x)
⇒ 3x/5 = 1/3(28 - x)
⇒ 9x = 5(28 - x)
⇒ 9x = 140 - 5x
⇒ 9x + 5x = 140
⇒ 14x = 140
⇒ x = 140/14
⇒ x = 10
Then the two parts are 10 and 28 - 10 = 18.
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