Question

If eight is added to 4 times a number ,the result is two less than five times the number .find the number

Answer 1

$\huge\bf\blue {Hey\:Mate}$

Let the no. be x.

According to the question,

$4x + 8 = 5x - 2 \\ 8 + 2 = 5x - 4x \\ x = 10$

Hence,the number is 10.

@ItsMysteriousGirl✍

Answer 2

Let take that number as 'x'

Eight is added to 4 times a number = 4x + 8.

Two less than five times the number = 5x - 2.

According to the question,

$4x+8=5x-2\\\\\implies8=5x-4x-2\\\\\implies8=x-2\\\\\implies10=x\\\\\therefore x=\boxed{10\:answer}}\\\\\\Lets\:verify\:that\\\\We\:have\:the\:value\:of\:x=10\\\\Put\:the\:10\:at\:the\:place\:of\:x\\\\4x+8=5x-2\\\\\implies4\times10+8=5\times10-2\\\\\implies40+8=50-2\\\\\implies48=48\\\\\bold{\boxed{L.H.S=R.H.S}}\\\\Hence\:it\:is\:verified.$