meena is 20 years older than her son. ten years hence she will be twice as old as her son how many years ago she was 5 times as old as her son
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let the present age of son be x
present age of meena = x+20
now, ten years hence,
age of son = x+10
age of meena = x+20+10 = x+30
now, A2Q, x+30 = 2[x+10]
x+30 = 2x+20
30-20 = 2x-x
10 = x
so, x = 10
so, present age of son = 10
present age of meena = 10+20 = 30
now, we will put in a second equation,
let x be the number of years ago when meena was 5 times her son
so, 30-x = 5 times 10-x
30-x = 5[10-x]
30-x = 50-5x
-x+5x = 50-30
4x = 20
x = 20/4
x = 5
so, meena was 5 times as old as her son, 5 years ago
hope it helps
have a nice day
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