Question

If AB x B = 96, then A = ______ and B = _______.

Answer 1

Answer:

Explanation: From the question, it is given that the units place contains a 6. So, the product of B and B should give a number with 6 in units place. It is possible when B = 4 or 6. When B = 4, (10A + B) x (B) = 96 It becomes (10A + 4) x 4 = 96 40A + 16 = 96, By simplifying the equation, it gives A = 2. Similarly, when B = 6, (10A + B)x(B) = 96 By simplifying, it becomes (10A + 6) x 6 = 96 60A + 36 = 96, gives A = 1. Hence, A = 2 B = 4 or A = 1 B = 6 (Both are feasible solutions)Read more on Sarthaks.com - https://www.sarthaks.com/863864/if-ab-x-b-96-then-a-and-b?show=863865#a863865

Answer 2

Answer:

A = 2 and B = 4

Explanation:

From the question, it is given that the units place contains a 6. So, the product of B and B should give a number with 6 in units place. It is possible when B = 4 or 6.

When B = 4,

(10A + B) x (B) = 96

It becomes (10A + 4) x 4 = 96

40A + 16 = 96,

By simplifying the equation, it gives A = 2. Similarly, when B = 6, (10A + B)x(B) = 96

By simplifying, it becomes (10A + 6) x 6 = 96 60A + 36 = 96, gives A = 1.

Hence, A = 2 B = 4 or A = 1 B = 6 (Both are feasible solutions)

Step-by-step explanation:

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