find the values of the digit A in the number if 31A5 is multiple of 3
Answers
Solution
Given :-
Three numbers are in the ratio 3:4:5
the Sum of the largest and the smallest equals the sum of the third and 52
Find :-
These Number .
Explanation
Let, Number be
First Number be = 3x
Second Number be = 4x
Third Number be = 5x
Then, According to question,
➡ 3x + 5x = 5x + 52
➡8x = 5x + 52
➡8x - 5x = 52
➡3x = 52
➡x = 52/3
Hence
First Number will be = 3x = 3 × 52/3 = 52
Second Number will be = 4x = 4 × 52/3 = 208/3
Third Number will be = 5x = 5×52/3 = 260/3
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Answer Verification
(the Sum of the largest and the smallest equals the sum of the third and 52)
➡3x + 5x = 5x + 52
Keep Value of x.
➡3 × 52/3 + 5 × 52/3 = 5 × 52/3 + 52
➡52 + 260/3 = 260 + 52
➡(156+260)/3 = (156 + 260)/3
➡416/3 = 416/3
L.H.S. = R.H.S.
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Answer:
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