Two thirds of a number reduced by 11 is equal to 4 more than the number. Find the number.
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Answer:
The ratio of George age to Carl's age is 1:12.
Step-by-step explanation:
Let the age of George be 'g'.
Let the age of Alex be 'a'.
Also Let the age of Carl be 'c'.
Given:
The sum of their ages is 68.
So equation can be framed as;
Also Given:
Alex is 12 years older than George.
So equation can be framed as;
Now Given:
Carl is three times older than Alex.
But
So we get;
Now Substituting equation 2 and equation 3 in equation 1 we get;
Subtracting both side by 48 using subtraction property of equality we get;
Now Dividing both side by 5 using Division property of equality we get;
Hence George age
Now Alex age
Also Carl's age
Now we need to find the ratio of George age to Carl's age.
Hence the ratio of George age to Carl's age is 1:12.