a mother and daughter decided to add their ages together. The sum of their ages is 76. six years ago, the mother was 3 times the age of her daugter. How old is the daugter now?

A mother is three times as old as her daughter. Six years ago, she was five times as old. How old are the mother and the daughter now?

A mother is three times as old as her daughter. Six years ago, she was five times as old. How old are the mother and the daughter now?

Analysis

Step 1. Let the age of the Mother now be X years old.

Fact. The mother is 3 times older than her daughter.

Step 2. Therefore her daughter is ( 1/3 )X.

Fact. 6 years ago the Mother was 5 times as old as her daughter.

Step 3. 6 years ago Mother was ( X - 6 ) years old.

Step 7. 6 years ago the daughter was ( 1/5 )( X - 6 )

Step 7. ( 1/5 )( X - 6 ) + 6 = ( 1/3 )X

Step 8. Determine Common Denominator

( 1/15 )( 3 )( X - 6 ) + ( 1/15 )(15 )( 6 )= ( 1/15 )( 5 )( X ) or

3( X - 6 ) + (15 )( 6 ) = ( 5X ) so

3X - 18 + 90 = 5X so

2X = 72 or

X = 36

Therefore the Mothers age is X = 36 years old now.

The Daughter is one third of the age of her Morher or ( 1/3 )X

Therefore the Daughter is 12 years old now.

PB

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Related Questions (More Answers Below)

you can first factor out the n to get n(1+5). we know that 1+5 is 6, so we just have 6n.

there is nothing below so i cannot

step-by-step explanation: