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2 years ago salim was thrise three time age and 6 year later he will 4 year older than twice her age |
| Answer» Let Salim\'s present age be x years and his daughter\'s age be y years.Two years ago,Salim\'s age = (x - 2) yearsDaughter\'s age = (y - 2) yearsAs per given conditionTwo years ago, Salim was thrice as old as his daughter .\xa0x - 2 = 3(y - 2)x - 2 = 3y - 6{tex}\\Rightarrow{/tex} x - 3y = -4 .........(i)Six years hence,Salim\'s age = (x + 6) yearsDaughter\'s age = (y + 6) yearsAs per second conditionSix years later, he will be four years older than twice her age.x + 6 = 2(y + 6) + 4x + 6 = 2y + 12 + 4{tex}\\Rightarrow{/tex} x - 2y = 10 ...........(ii)Subtracting (i) from (ii), we havex - 2y - x + 3y =10 - ( -4)y = 14Put y = 14 in (i){tex}\\Rightarrow{/tex} x - 3(14) = -4{tex}\\Rightarrow{/tex} x - 42 = - 4{tex}\\Rightarrow{/tex} x = 38Therefore, the present age of Salim is 38 years and that of his daughter is 14 years. | |