the lesser number is 5.
Let the first number = x
Let the second number = y
set up two equations
x + y = 17
2/3 x -3 = y
sub the second equation into the first one
x + 2/3 x - 3 = 17
collect like terms (1x = 3/3 x)
5/3 x - 3 = 17
add 3 to both sides
5/3 x = 20
multiply by 3 on both sides
5x = 60
divide by 5 on both sides
x = 12
sub back in one of the equations and solve to find the other number:
x + y = 17
12 + y = 17
y= 5
•have a good day• :) ~ ♡lipika♡
The lesser number is 5.
Let us consider that first number is x .
Since, second number is 3 less than 2/3 of the other number.
So that, second number [tex]=\frac{2}{3}x-3[/tex]
The sum of both number is 17.
[tex]x+\frac{2}{3}x-3=17\\\\\frac{5}{3}x=17+3\\\\\frac{5}{3}x=20\\\\x=20*\frac{3}{5}=12[/tex]
Lesser number is. [tex]=\frac{2}{3}x-3=\frac{2}{3}*12-3=5[/tex]
Hence, the lesser number is 5.
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