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CBSE Class 10 Answered

The letters R, M, and I represent whole numbers. If R×M×O=240, R×M+O=46 and R+M×O= 64, what is the value of R+M+O?
Asked by vikasg13.hardware | 16 Jun, 2018, 06:36: AM
answered-by-expert Expert Answer
begin mathsize 16px style We space have comma straight R space cross times space straight M space cross times space straight O space equals space 240 space.... left parenthesis 1 right parenthesis straight R space cross times space straight M space plus space straight O space equals space 46 space space.... left parenthesis 2 right parenthesis space straight R space plus space straight M space cross times straight O space equals space 64 space space space.... left parenthesis 3 right parenthesis Multiply space equation space left parenthesis 2 right parenthesis space by space straight O comma space we space get straight R space cross times space straight M cross times straight O space plus space straight O squared space equals space 46 straight O space 240 space plus straight O squared space minus space 46 straight O equals space 0 rightwards double arrow space space straight O squared space minus space 46 straight O space plus space 240 space equals space 0 rightwards double arrow left parenthesis space straight O thin space minus space 40 right parenthesis space left parenthesis space straight O space minus space 6 right parenthesis space equals space 0 rightwards double arrow straight O space equals space 40 space or space straight O space equals space 6 Similarly comma Multiply space equation space left parenthesis 3 right parenthesis space by space straight R comma space we space get straight R squared space plus straight R space cross times space straight M space cross times straight O space equals space 64 straight R space space rightwards double arrow straight R squared space minus space 64 straight R space plus space 240 space equals space 0 rightwards double arrow left parenthesis space straight R space minus space 60 space right parenthesis space left parenthesis space straight R space minus space 4 right parenthesis space equals space 0 rightwards double arrow straight R space equals space 60 space or space straight R space equals space 4 from space left parenthesis 1 right parenthesis comma space straight R space cross times space straight M space cross times space straight O space equals space 240 space rightwards double arrow 4 space cross times space straight M space cross times 6 space equals space 240 space rightwards double arrow straight M space equals space 240 over 24 space equals space 10 Here comma space 4 space cross times space 10 space cross times 6 space equals space 240 space but space 60 space cross times 10 space cross times 40 space is space not space equal space yo space 240 space. So space straight R space equals space 60 space and space straight O space equals space 40 space space is space not space acceptable. Therefore space straight R space plus space straight M thin space space plus space straight O space equals space 4 plus space 10 plus space 6 space equals 20 space end style
Answered by Yasmeen Khan | 18 Jun, 2018, 11:28: AM

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