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Answers
1. let the age of rajan be x
age of savita =18
according to question ,
x+4=18
x=14yrs
age of rajan is 14 yrs
2.let the total no. of students be x
present students =32
according to question
x-4=32
x=36
total no. of students in class is 36
3.let the beginning money of hari be x
his father give money=70
total money =130
initial money=130-70
=60
so, he have 60 ruppe from beginning
4.let the age of sahil be x
let the age of nikhil be y
according to question,
4x=3y
x=3y/4
after five yrs,
5x=4y
putting the value of x
15y/4=4y
15y=16y
iv. Rajan's age= x
Savita's age=4-x=18
Rajan's age= 4-x=18
x=18+4
x=22
i.e. Rajan's age is 22 years
v. Total number of students in class=x
number of students present today=32 (x-4=32)
Therefore, total number of students= x-4=32
x=32+4
x=36
i.e. the total number of students is 36
vi. Amount of money Hari had at the beginning=x
amount of money given to Hari by his father=RS 70
Amount of money now=RS 130
Therefore, amount of money in the beginning= x+70=130
x=130-70
x=50
i.e. Hari had RS 50 in the beginning
vii. Ratio= 4:3
Age of Sahil=4x
Age of Nikhil=3x
Ratio after 5 years= 5:4
Therefore, x=4x+5+3x+5=5x+4x
7x+10=9x
10=9x-7x
10=2x
x=10/2
x=5
i.e. Age of Sahil=4x= 4*5=20 years
Age of Nikhil=3x=3*5=15 years