Linear equation in one variable?

1.The sum of two numbers is 36.Three times one exceeds twice the other by 8.Find them..





2.The sum of two numbers is 36.If the larger is divided by the smaller ,the quotient is 2 and the remainder is 3. Find the numbers.





3.The ages of Rohit and Mohit are in the ratio 7:5.Ten years hence ,the ratio of their ages will be 9:7. Find their present ages.





4.How much pure alcohol be added to 400 ml of a 15% solution to make its strength 32%





5.The tens digit of a certain two digit number exceeds the units digit by 4 and is 1 less than twice the units digit. Find the digit number.





6. Half the flowers in the garland are jasmines,one fourth of the total being roses . The remaining seventeen are as lovely as your face.How many number of flowers are there in the garland.





7.Radha is 19 yrs younger than her father.After 5 yrs ,their ages will be in the ratio 2:3. Find their present ages.

Linear equation in one variable?
answers:-


1- 16,20.


2- 11,25.


3- 25,35.


4- 100ml.


5- 95.


6- 68.


7- 33,52.
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Reply:Q1


x+y=36 --%26gt; x=36-y


3x=2y+8


(substitute) 3(36-y)=2y+8


108-3y=2y+8


5y=100


y=20, x=16





Q2


x+y=36 --%26gt; x=36-y


y/x=2+3/x


(multiply thru by x) y=2x+3


(substitute) y=2(36-y)+3


y=72-2y+3


3y=75


y=25, x=11





Q3


5R=7M --%26gt; R=7M/5


7(R+10)=9(M+10)


7R+70=9M+90


(substitute) 7(7M/5)+70=9M+90


49M/5+70=9M+90


9.8M=20


M=2.041..., R=2.857...





Q4


0.15x400=60ml alcohol already in


60+x=0.32(400+x)


60+x=128+0.32x


x=100ml





Q5


x=y+4


x=2y-1


y+4=2y-1


y=5, x=9


number is 95





Q6


0.5x+0.25x+17=x


x=68





Q7


R=F-19


3(R+5)=2(F+5)


3R+15=2F+10


(substitute) 3(F-19)+15=2F+10


3F-57+15=2F+10


F=52, R=33