Question
If the number 640x6 is exactly divisible by 56 and x is
greater than 5, then determine the value of x.Solution
ATQ,
Last 3 digits: 0x6
Try x = 2 ⇒ 026 = 26 ÷ 8 = 3.25 (not divisible)
Try x = 4 ⇒ 046 = 46 ÷ 8 = 5.75 (not divisible)
Try x = 7 ⇒ 076 = 76 ÷ 8 = 9.5 (not divisible)
Try x = 8 ⇒ 086 = 86 ÷ 8 = 10.75 (not divisible)
Try x = 3 ⇒ 036 = 36 ÷ 8 = 4.5 (not divisible)
Try x = 5 ⇒ 056 = 56 ÷ 8 = 7 (divisible)
Try x = 6 ⇒ 066 = 66 ÷ 8 = 8.25 (not divisible)
So only x = 5
But x > 5 → not valid
Try x = 9 ⇒ 096 = 96 ÷ 8 = 12 (divisible)
x = 9
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