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ser-zykov [4K]
3 years ago
7

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 ye

ars and months.​
Mathematics
1 answer:
torisob [31]3 years ago
4 0

Answer:

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. brainly.com/question/9221821

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

brainly.com/question/8868406

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. brainly.com/question/2860283

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

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