When a certain number is divided by 4, the answer is 160 with a remainder of 2. what is the number?

The number is 642

Step-by-step explanation:

To solve the problem above, we will simply follow the steps below;

Let x bet the numb er divided by 4 that yield 160 remainder 2.

We will first write the question in a mathematical form and the solve.

"When a certain number is divided by 4, the answer is 160 with a remainder of 2"  can be written mathematically as;

 =   160 remainder 2

Multiply both-side of the equation by 4

×4  =   160×4 remainder 2

At the left-hand side of the equation, 4 will cancel-out 4 leaving us with just x while at the right-hand side of the equation, 4 will be multiply by 160 only, the remainder will be added to the result of the multiplication. That is;

x = 640  +   2

x = 642.

Therefor the number is 642

To check

  =   160 remainder 2

check the picture below.

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step-by-step explanation: