One number is greater than thrice the other number by 2. If 4 times the smaller number exceeds the greater by 5, find the numbers.
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Let the numbers be x and y
Given x= 2 + 3y
Therefore x - 3y =2-----(i)
Also given 4y= 5+ x
x - 4y = -5------(ii)
x - 3y = 2
x - 4y =-5
Subtract both:
y=7
Substitute value of y in (i)
x - 3(7) = 2
x - 21= 2
x= 23
Therefore x=23 y=7
Given x= 2 + 3y
Therefore x - 3y =2-----(i)
Also given 4y= 5+ x
x - 4y = -5------(ii)
x - 3y = 2
x - 4y =-5
Subtract both:
y=7
Substitute value of y in (i)
x - 3(7) = 2
x - 21= 2
x= 23
Therefore x=23 y=7
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