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A woman says, "If you revise my own age, the figure represents my husband" age. He is, of course, senior to me and the difference between our ages is one- eleventh of our sum" What is the age of the woman?
Let, woman's age be (10y+x) years ∴Husband's age be (10x + y) years According to question 10X+Y-10Y-X=111(10Y+X+10+Y) =9X-9Y=111(11X+11Y) =9X-9Y=111×11(X+Y) =9X-9Y=X+Y =8X=10Y =x : Y=10 : 8 ∴X : Y = 5 : 4 ∴Woman's age be = 10y + x = (10 × 4 ) + 5 = 40 + 5 = 45 years.
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