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ivann1987 [24]
3 years ago
7

The sum of two numbers is 80 If four times the smaller number is subtracted from the larger number, the result is 10. Find the t

wo numbers. The larger number is? The smaller number is?
Mathematics
2 answers:
umka21 [38]3 years ago
6 0
Let x be the smallest number & y the largest:

x + y  = 80
y - 4x = 10
Solving this equation gives :
x =14 & y = 66
timama [110]3 years ago
3 0
This can be solved using a system of equations. 
\left \{ {{x+y=80} \atop {x-4y=10} \right. 

Subtract y from both sides.
x=80-y
Substitute:
80-y-4y=80-5y=10
Subtract 80 from both sides:
5y=70
Divide both sides by 5:
y= \frac{70}{5} =14
Substitute.
x=80-14=66
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