Three nos are in the ratio 3:4:5 . If the sum of the largest and the smallest equals the sum of the third and 52. Find the numbers ?
3 Answers
The numbers are 39, 52 and 65
Explanation:
The numbers are 3n,4n and 5n
We just need to find whether 3,4,5 or 6,8,10, or 9,12,15 etc
So 3n +5n= 4n+52
Simplify
8n=4n+52
Solve
4n=52
n=13
The 3 numbers are 39:52:65
39,52 and 65
Explanation:
There should be new triangle for propionate to 3:4:5
Let take x and multiple it to 3:4:5 to make new triangle
or
or
or
Put the value of x =13 in
or
or
Hence the numbers are 39,52 and 65
39 : 52 : 65
Explanation:
Consider the ratios
We have 3 parts, 4 parts and finally 5 parts. This gives a total of 12 parts
Let the first number be
Let the second number be
Let the third number be
Let the sum of all the numbers be
So we have:
3 parts < 4 parts < 5 parts so
the first number is
the second number is
the third number is
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Lets break down the wording of the question:
The sum of the largest and the smallest:
equals:
the sum of:
the third:
and 52:
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By substitution we have: