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If a² - b² = 56, a + b = 7 then value of a - b is ____?
If a² - b² = 56, a + b = 7 then value of a - b is ____?
5
8
49
None of these
Explanation
The given equation
a² - b² = 56
can be rewritten as
(a - b)(a + b) = 56
.
Since
a + b = 7
, substituting it gives
(a - b) × 7 = 56
, solving for
a - b
gives
8
.