PREMA RECEIVED A CERTAIN AMOUNT OF MONEY ON HER RETIREMENT FROM HER EMPLOYER SHE GIVES HALF OF THE MONEY AND - Maths - Linear Equations in One Variable

Question

PREMA RECEIVED A CERTAIN AMOUNT OF MONEY ON HER RETIREMENT FROM HER
EMPLOYER SHE GIVES HALF OF THE MONEY AND AN ADDITIONAL SUM OF RS
10000 TO HER DAUGHTER SHE ALSO GIVES ONE-THIRD OF THE MONEY
RECEIVED AND AN ADDITIONAL SUM OF RS 3000 TO HER SON IF THE
DAUGHTER GETS TWICE AS MUCH AS THE SON,FIND THE AMOUNT OF MONEY
RECEIVED ON HER RETIREMENT

EXPLAIN THESE AND GIVE A DETAILED SOLUTION

DONT GIVE LINKS,PLZ

Srijith Balan · Accepted Answer

Dear Student,

Let the amount received by Hema be 'x' Then her daughter got (x/2 +
10000) and Hema's son was given (x/3 + 3000)

and given that

2x3+3000 = x2+10000          (1)

or
2x3-x2 = 10000 - 60004x6-3x6=4000x = 6×4000 = 24000

The amount received by Prema is 24000 The solution can be
verified by substituting for x = 24000 in equation (1)

Regards