Answer:
[tex]\large\boxed{a-b=11}[/tex]
Step-by-step explanation:
[tex]\text{Use}\ x^2-y^2=(x-y)(x+y).\\\\\text{We have}\\\\a^2-b^2=275\ \text{and}\ a+b=25.\\\\\text{Substitute:}\\\\275=(a-b)(25)\qquad\text{divide both sides by 25}\\\\\dfrac{(a-b)(25)}{25}=\dfrac{275}{25}\\\\\boxed{a-b=11}[/tex]
