the l c m of two numbers is 45 times their..., HCF & LCM, General Mathematics

Question:The L.C.M. of two numbers is 45 times their H.C.F. If one of the numbers is 125 and the sum of H.C.F. and L.C.M. is 1150, the other number is :

/49

+ AnswerC

+ Explanationsolution:
Let H.C.F. be h and L.C.M. be l. Then, 
`l=45h` 
`and l+h=1150`.
`:. 45h+h =1150`
`or h=25`. 
`So, l=(1150-25)=1125`.
`:.`other number =`(25 xx 1125)/125 `
                `=225`.

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Question:The L.C.M. of two numbers is 45 times their H.C.F. If one of the numbers is 125 and the sum of H.C.F. and L.C.M. is 1150, the other number is :

A 215

B 220

C 225

D 235

C