Mathematics, 11.08.2019 13:10 battlemarshmell

The ratio of ali's age to ben's age is 21: 17.if the difference in ages between them is 3 years and 4 months, find ali's age, in years and months.

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To find the answer from the question above, we need to solve the equation and find Ali's age. We know that the ratio of Ali's age and Ben's age is 21:17 and they have age's difference in 3 years and 4 months. We need to find how many years old is Ali in years and months.

First, we made an equation with the ration which has known

21/(21 +17) = 21/38x = Ali's age

17/(21+17) = 17/38x = Ben's age

Ali's age - Ben's age = 3 years 4 month

21/38 - 17/38 = 4/38x = 3 years 4 month

and we use x as a symbol for the total of Ali's age and Ben's age

to make it easier, we change the unit of the time. from year to month

3 years + 4 months = (3 x 12 months) + 4 months = 40 months

we need to know what is the value of x, we can finish a first equation which is the age's difference

4/38x = 40 months

x = 40/4 x 38

x = 10 x 38 = 380 months

because we know the value of x is 380, now we can finish the other equation

Ali's age

21/38x = 21/38 x 380 = 21 x 10 = 210 months

* if we would know how many years old Ali in years and months then we change the unit, 1 year = 12 months so, 210 divided by 12 is 17 and 6 left. So Ali's age is 17 years and 6 months.

Ben's age

17/38x = 17/38 x 380 = 17 x 10 = 170 months

* we change the unit to year, so if 170 divided by 12 is 14 and 2 left. So, Ben's age is 14 years and 2 months

Learn More :

The ratio of Paul’s age to Luis’s age is 2:3. The sum of their ages is 35 years. Find the age of each one.

2. The ratio of zoya's age to nelya's age is 1:4. twenty years from now, nelya will be twice as old as zoya will be then. find their present ages

3. Sean’s age and Helen’s age are in the ratio of 3:5. Two years ago, Helen was twice as old as Sean was then. Find their present ages.

Answer Details

Subject: Mathematics

Chapter: Fraction

Grade: Middle School

Keywords : The average age of Ali, Ben and Chandra, Vic and Ben ages are in the ratio of 3 : 4, The ratio of Paul's age to Luis's age is 2 : 3

Answer from: Quest

take it another

Answer from: Quest

(3x-8) or (3x+8)

step-by-step explanation:

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The ratio of ali's age to ben's age is 21: 17.if the difference in ages between them is 3 years and...

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