Divide 60 into two parts such that 3 times the smaller part may exceed 100 by as much as 9 times the bigger falls short of 200?
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Step-by-step explanation:
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2
Answer:
let smaller no = x greater no = y
3x - 100 = 200-9y
9y + 3x = 300
Given, x + y = 60
Now we've got 2 equations.
3x + 9y = 300
x + y = 60
multiply eq 2 with 3 and subtract the 2.
3x+9y=300
- 3x+3y= 180
= 6y = 120
y =20
x+y = 60
x +20= 60
x = 40
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