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ICSE Class 10 Answered

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Asked by siddharthjaiswal1122 | 24 Aug, 2018, 11:23: AM
answered-by-expert Expert Answer
begin mathsize 16px style Let space the space required space numbers space be space straight a space and space straight b.
given space mean space proportion space of space straight a space and space straight b space is space 24.
straight a colon 24 space equals space 24 colon straight b
rightwards double arrow ab space equals space 576 space space space...... left parenthesis 1 right parenthesis
given space 1536 space is space third space proportion space of space straight a space and space straight b.
straight a colon straight b space equals space straight b colon 1536
rightwards double arrow straight b squared space equals space 1536 straight a space space space space..... left parenthesis 2 right parenthesis
from space left parenthesis 1 right parenthesis comma
straight a space equals space 576 over straight b
put space the space value space of space straight a space in space equation space left parenthesis 2 right parenthesis comma space we space get
straight b squared space equals space 1536 straight a
rightwards double arrow straight b squared space equals space 1536 space cross times space 576 over straight b
rightwards double arrow straight b cubed space equals space 1536 space cross times space 576 space equals space 884736
rightwards double arrow straight b space equals space 96
Therefore comma space straight a space equals 576 over straight b space equals space 576 over 96 space equals space 6 end style
Answered by Yasmeen Khan | 24 Aug, 2018, 11:53: AM
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