Q6 of 53 Page 150

If 2m × a2 = 28, where a,m are positive integers, find all possible values of a + m.

Given: 2m × a2 = 28


⇒2m × a2 = 28× 12


Then a + m = 8 + 1 = 9


Also, 2m × a2 = 24 × 42


Then a + m = 4 +4 = 8


Similarly, 2m × a2 = 22× 82


Then a + m = 2 +8 = 10


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