The sum of two numbers is 75. Thrice of smaller number equals twice of the greater number.find the number
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Let the numbers be x and y
ATQ.
x+y=75 ...(i)×2. Multiplying by 2
3x=2y
3x-2y=0 ...(ii)
Adding the eqns. i and ii:
2x+2y=150
+ 3x-2y=0
-----------------------
5x=150
:.x=30
Substituting the value of x in eq. i
30+y=75
:.y=75-30=45
Thus nos. are 30 & 45
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