Question

mrs. west is 14 years younger than her aunt. if mrs. west’s age in years is as much below 60 as her aunt’s age is over 40, how old is each?

Answer 1

Let x=aunt's agethen x-14=Mrs West's ageso we have:60-(x-14)=x-40 simplify60-x+14=x-40 subtract x from each side and also subtract 60 and 14 from each side60-60-x-x+14-14=x-x-40-60-14 collect like terms
-2x=-114x=57------------aunt's agex-14=57-14= 43----------Mrs West's ageck60-43=57-4017=17