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The ratio of two numbers is . When 6 is subtracted from the smaller of the two numbers and 7 is added to the larger of the two, the new ratio is . What was the smaller of the two numbers before 6 was subtracted from it?

 Nov 4, 2021
 #1
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The complete question is:

The ratio of the two numbers is 2:3. when 6 is subtracted from the smaller of the two numbers and 7 is added to the larger of the two, the new ratio is 2:7. what was the smaller of the two numbers before 6 was subtracted from it?

 Nov 4, 2021
 #2
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S==Smaller,    L== Laeger number

 

S / L ==2 / 3

[S - 6] / [L  + 7] ==2 / 7, solve for S, L

 

Use substitution to get:

S==14   and   L ==21

 

The smaller of 2 numbers==14

 Nov 4, 2021

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