Answer:
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;
\(\frac{x}{4}\) = 160 remainder 2
Multiply both-side of the equation by 4
\(\frac{x}{4}\) ×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
\(\frac{642}{4}\) = 160 remainder 2
