. Difference between two number is 5. Four times of greater number is equal to five times the smaller number. Find the number. *
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Answer:
X=25 Y=20
Step-by-step explanation:
Let X be the greater number
Let Y be the smaller number
Difference between two number is 5
X - Y = 5
Four times of greater number is equal to five times the smaller number
4X = 5Y
4X - 5Y = 0
So till now we get two equations
X - Y = 5
4X - 5Y = 0
Multiply the equation ( X - Y = 5) by -4 =
- 4X + 4Y = - 20
4X - 5Y = 0
Add both the equations
By adding we get
-Y = -20
Y= 20
X = 25
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