The ratio of Rashaad’s age to Aiden’s age is 4 : 3. The ratio of Rashaad’s age to Claire’s age is 6 : 7. Find the ratio of Rashaad’s age to Aiden’s age to Claire’s age in its simplest form.
Answers
Answer:
The ages of Ali and Bakar are in the ratio 4:3. In 8 years time, the ratio of their ages will be 9:7. How old is Ali?
Here we go :
Present ratio A:B = 4:3 or 8:6
8 years later A:B = 9:7
The time gap between the two ratios is 8 years.
Look at the difference between numerator and denominator in both ratios. It is 9 – 7 & 8 - 6 = 2 in both cases.
Now look at the difference between numerators or denominators of both ratios. It is 9–8=1 or 7 –6 =1 in both cases.
=> If gap between the two ratios ( point 2 above ) is 1, what will be the ratios if gap is 8 ?
A:B pesent ratio = 8x8/1:6x8/1 = 64:48
A:B 8 year hence = 9x8/1:7x8/1=72:56
:-)
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Let the ages of Ali and Baker be 4x and 3x, now
(4x+8) : (3x+8) :: 9 : 7, or
7(4x+8) = 9(3x+8) or
28x + 56 = 27x + 72
28x - 27 x = 72–56
x = 16.
The ages of Ali and Baker, now, are 64 and 48.
Ali is 64 years old, and Bakar is 48 years old.
64:48 = 4:3
(64+8):(48+8) = 72:56 = 9:7
If a is Ali’s current age, and b is Bakar’s current age, set up the ratios as follows.
a/4 = b/3
(a+8)/9 = (b+8)/7
Then use cross multiplication and systems of equations to solve for the variables.
Let n be the common multiple of Ali and Bakar’s ages. Then:
4n + 8 / 3n+8 =9/7
27n+72=28n+56
n=16
4n=64=Ali’s age
3n=48=Bakar’s age
Step-by-step explanation:
hope it may help