Double-digit 80970

Eva thought of two natural numbers. She first added these correctly, then subtracted them correctly. In both cases, she got a double-digit result. The product of the resulting two-digit numbers was 645. Which numbers did Eva think of? Please, what is this result?

Correct answer:

x =  29
y =  14

Step-by-step explanation:

(x+y) (xy)=645 645 = 3 × 5 × 43 = (3 5) 43 = 15 43  x+y=43 xy=15  x(43x)=15  2x=58  x=258=29  x=29
y=43x=4329=14   Verifying Solution:  a=x+y=29+14=43 b=xy=2914=15 s=a b=43 15=645



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