Solve for x: 1527 : 152 = 15-2 x 155x+2
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Answer:
Since A−G=15 and A−H=27
(A−15)
2
=G
2
=AH by (1) =A(A-27)
or −30A+225=−27Aor3A=225
∴A=75=
2
a+b
∴a+b=150 ...(2)
Since A−G=15∴75−G=15
or G=60=
ab
ab=3600...(3)
Hence from (2) and (3) we conclude that a and b are the roots of t
2
−150t+3600=0
or (t−120)(t−30)=0∴t=120,30
Hence the two numbers are 120 and 30.
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