present ages of x and y are in the ratio 5 : 6 if after 7 years this ratio becomes 6 : 7 then the present age of x is?
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Answer:
Let the present age of x and y = 5p and 6p
after 7 years = 5p+7 and 6p+7
A.T.Q
⇒5p+7:6p+7=6:7
⇒5p+7/6p+7=6/7
⇒7(5p+7)=6(6p+7)
⇒35p+49=36p+42
⇒36p-35p=49-42
⇒p=7
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Therefore the present age of x and y
⇒5p and 6p
⇒5×7 and 6×7
⇒35 and 42
__________________________
•Age after 7 years of x and y
⇒35+7 and 42+7
⇒42 and 49
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