two numbers are in the ratio of 2 is to 3 such that the sum of the square of these two numbers is 31213. find the number. plz answer in full explanation then I will follow the answerer
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Let the two numbers be a,b
a:b=2:3-----------(1)
a²+b²=31213----(2)
a=2x
b=3x
Substitute these values of a,b in (2)
(2x)²+(3x)²=31213
4x²+9x²=31213
13x²=31213
x²=31213/13
x²=2401
x²=49×49
x²=49²
x=49
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