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Verified answer
Jwaba² + b²= 61
a² + (a+1)² = 61
a² + a² + 2a + 1 = 61
2a² + 2a - 60 = 0
a² + a - 30 = 0
(a + 6)(a - 5) =0
a = -6, a = 5
a= 5
b= 6
a + b = 11