Mother’s age is 4times daughter’s age. After 6years mother’s age will be 3less than 3times daughter’s age. Find mother’s age 6yrs ago.
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Answer:
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Let the mother’s age be M and that of her daughter, D, now.
Let the mother’s age be M and that of her daughter, D, now.M = 3D …(1)
Let the mother’s age be M and that of her daughter, D, now.M = 3D …(1)(M-6) = 5(D-6), or
Let the mother’s age be M and that of her daughter, D, now.M = 3D …(1)(M-6) = 5(D-6), orM = 6+5D-30, or
Let the mother’s age be M and that of her daughter, D, now.M = 3D …(1)(M-6) = 5(D-6), orM = 6+5D-30, orM = 5D-24 …(2)
Let the mother’s age be M and that of her daughter, D, now.M = 3D …(1)(M-6) = 5(D-6), orM = 6+5D-30, orM = 5D-24 …(2)Equate (1) and (2)
Let the mother’s age be M and that of her daughter, D, now.M = 3D …(1)(M-6) = 5(D-6), orM = 6+5D-30, orM = 5D-24 …(2)Equate (1) and (2)3D = 5D-24, or
Let the mother’s age be M and that of her daughter, D, now.M = 3D …(1)(M-6) = 5(D-6), orM = 6+5D-30, orM = 5D-24 …(2)Equate (1) and (2)3D = 5D-24, or2D = 24, or
Let the mother’s age be M and that of her daughter, D, now.M = 3D …(1)(M-6) = 5(D-6), orM = 6+5D-30, orM = 5D-24 …(2)Equate (1) and (2)3D = 5D-24, or2D = 24, orD = 12.
Let the mother’s age be M and that of her daughter, D, now.M = 3D …(1)(M-6) = 5(D-6), orM = 6+5D-30, orM = 5D-24 …(2)Equate (1) and (2)3D = 5D-24, or2D = 24, orD = 12.So the Mother is 36 years and the Daughter is 12 years old now.