Two years ago,Salim was thrice as old as his | vedclass

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Question

(B) Let Salim's current age be $x$ years and his daughter's current age be $y$ years.According to the first condition,two years ago:$x - 2 = 3(y - 2)$

Vedclass · Accepted Answer

$38, 14$

Vedclass · Answer

(B) Let Salim's current age be $x$ years and his daughter's current age be $y$ years.According to the first condition,two years ago:$x - 2 = 3(y - 2)$$x - 2 = 3y - 6$$x - 3y = -4$  --- $(i)$According to the second condition,six years later:$x + 6 = 2(y + 6) + 4$$x + 6 = 2y + 12 + 4$$x - 2y = 10$  --- $(ii)$Subtracting equation $(i)$ from equation $(ii)$:$(x - 2y) - (x - 3y) = 10 - (-4)$$x - 2y - x + 3y = 10 + 4$$y = 14$Substituting $y = 14$ into equation $(ii)$:$x - 2(14) = 10$$x - 28 = 10$$x = 38$Therefore,Salim's current age is $38$ years and his daughter's current age is $14$ years.

Two years ago,Salim was thrice as old as his daughter and six years later,he will be four years older than twice her age. How old are they now? (in $year$)

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