Distribute rupees 500 among Anita, kavita and manju in such a way that kavita gets rupees 20 less than double - Maths - Algebraic Expressions

Question

Distribute rupees 500 among Anita, kavita and manju in such a way
that kavita gets rupees 20 less than double of what Anita gets and
manju gets rupees 50 more than what kavita gets

Gouri Lahoti · Answer

Anita (Rs ) =x
Kavita =2x -20
Manju = 2x +30

x+ (2x-20)+(2x+30) =500
5x+10 =500
5x=490
x=98

Anita =Rs 98
Kavita =(982) -20 =Rs 176
Manju =(982)+30 = Rs 226

Distribute rupees 500 among Anita, kavita and manju in such a way that kavita gets rupees 20 less than double of what Anita gets and manju gets rupees 50 more than what kavita gets.