Q. 25.0( 3 Votes )

Three numbers are

Answer :

Given:- Ratio = 3 : 4 : 5 and sum of their square = 1250


Now,


Let, x be the constant ratio


Therefore,


Ratio = 3x : 4x : 5x


As given in question,


Sum of Ratio squares = 1250


(3x)2 + (4x)2 + (5x)2 = 1250


9x2 + 16x2 + 25x2 = 1250


50x2 = 1250


x2 = 1250 ÷ 50


x2 = 25


x = √25


x = 5, -5; ignore -5


Now, the sum of the numbers, by putting value of x = 5


= 3x + 4x + 5x


= 12x


= 12(5)


= 60


Hence, The sum of the 3 numbers is 60


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