Jane is 6 years older than her younger sister. After 10 years the sum of their ages will be 50 years. Find their present ages.
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let jane's age be x and that of her younger sister be y.
hence, x=y+6...(jane is 6 years older than her sister)
x-y=6...(1)
according to given condition
(x+10)+(y+10)=50
x+y+20=50
x+y=50-20
x+y=30...(2)
adding equation (1)&(2)
2x=36
x=18
substituting x=18 in equation (1)
18-y=6
-y=6-18
-y=-12
y=12
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