Question

the sum of a two digit number is 13.If sum of their squares is 89,find the number

Answer 1

Answer:

let the numbers be x and y

x + y = 13

x² + y² = 89

x = 13-y

(13-y)² + y² = 89

13² -2 x y + y²+y² = 89

169 - 24y + 2y² = 89

24y+ 2y² = 169 - 89

y+ y² = 80/ 48

Step-by-step explanation:

now u can find the values.

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Answer 2

Let the no. be x and y

x +y = 13

y = 13 -x

x ^2+ (13-x)^2 = 89

x^2 + 169 + x^2 - 26x = 89

2x^2- 26x +169-89 = 0

x^2 - 13x+ 40=0

x^2 -8x - 5x + 40 = 0

x(x-8) -5 (x-8) =0

(x-5)(x-8)= 0

either x=5

or x=8

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