SOLUTION: Divide 32 into two parts such that if the larger is divided by the smaller, the quotient is 2 and the remainder is 5.
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Question 459212
:
Divide 32 into two parts such that if the larger is divided by the smaller, the quotient is 2 and the remainder is 5.
Answer by
josmiceli(19441)
(
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Let the parts =
and
,
with
being larger
given:
(1)
(2)
Multiply both sides by
(2)
Substitute (1) into (2)
(2)
(2)
(2)
(2)
and
(1)
(1)
(1)
check answers:
(2)
(2)
(2)
(2)
OK