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1.) x+2/3 - x-3/4 = x+1/5 -1
LHS.= x+2/3 - x-3/4
= 2/3 - 3/4
= 8/12 - 9/12
= -1/12
RHS.= x + 1/5 - 1
= x - 4/5
LHS.= RHS.
-1/12 = x - 4/5
-1*5 = 12(5x-4)
-5 = 60x - 48
-5+48 = 60x
60x = 43
x = 43/60
x = 0.72
2.) Let the original no. be x
According to the statement:
3x/4 = x-20
3x = 4(x-20)
3x = 4x-80
4x-3x = 80
x = 80
Therefore, the original no. is 80
3.) Let the daughter's age be x.
Then mother's age = 7x
TWO YEARS AGO:
Daughter's age = x - 2
Mother's age = 7x - 2
ACCORDING TO QUESTION:
7x - 2 = 13 (x - 2)
7x - 2 = 13x - 26
6x = 24
x = 4 years
HENCE THE PRESENT AGE OF DAUGHTER IS 4 YEARS AND MOTHER'S AGE = 7*4 = 28 YEARS
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