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Q)

five times of a number is 22 more than 4 times another number.if the sum of

five times of a number is 22 more than 4 times another number.if the sum of three times the bigger number and 7 times the smaller number is 32,what is the smaller number?

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A)

Let x be the bigger number and y be the smaller

 
According to 1st condition
 
5x-4y=22..........1
 
According to 2nd condition
 
3x+7y=32..........2
 
Multiplying equation no. 1 by 3 and equation no. 2 by 5
 
15x-12y=66.........3
 
15x+35y=160........4
 
Subtracting equation no. 3 and equation no. 4
 
 15x+35y=160
 
-15x-12y=66
 
47y=94
 
y=2
 
Therefore the smaller number is 2
 
 
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