Math, asked by Kjw, 8 months ago

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

Answers

Answered by nirmithsasanapuri
1

Answer:

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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