Amother is five times as old as her daughter. in 6 years, the mother will be three times as old as her daughter. how old is each now?

daughter = 6 years

mother = 30 years

Step-by-step explanation:

Let the daughter's age be x and the mother's age be y , then from the first statement

y = 5x   equation 1

In 6 years time , the mother will be y + 6 and the daughter will be x + 6 ,from the second statement , we have

y + 6 = 3 ( x + 6 )

y + 6 = 3x + 18 equation 2

substituting equation 1 into equation 2 , we have

5x + 6 = 3x + 18

5x - 3x = 18 - 6

2x = 12

x = 6

Therefore , the daughter's age is 6 years ,then the mother's age will be 6x5 = 30 years

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