ICSE Class X Math 2014 Solved Paper

Question : 41

Total: 52

If (x−9):(3x+6) is the duplicate ratio of 4 : 9 , find the value of x .

Solution:

Given :(x−9):(3x+6) is the duplicate ratio of 4:9
⇒‌‌

x−9

3x+6

‌=(‌

)2
⇒‌‌

x−9

3x+6

‌=‌

⇒81x−729‌=48x+96
⇒‌81x−48x‌=96+729
⇒‌33x‌=825
⇒‌x‌=‌

825

=25

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