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Secondary 1 | Maths
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Given :
A - B = 4, and A² + B² = 58,
now, recall (A - B)² = A² - 2AB + B²
So A² - 2AB + B² = 16
sub in A² + B² = 58,
58 - 2AB = 16
2AB = 42
AB = 21
Only 3 x 7 gives 21. So the two digits are 3 and 7.
The digit can be 73 or 37.
either one will be correct, as
7-3 = 4
7² + 3² = 49 + 9 = 58
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