The sum of two numbers is equal to 495. The last digit of one of them is zero. If you cross the zero off the first number you wi ll get the second. What are the numbers?
2 answers:
Answer:
45 and 450
Step-by-step explanation:
let x be the bigger number and y the smaller number, then:
495 = x+y, 10y=x
then you simplify:
495=10y+y
y=45
x=10y=450
To answer this item, we let x be the hundreds digit of the first number, and y be the tens digit. This makes the first number equal to, 100x + 10y The second number then equals 10x + y. Since the last digit of the sum is equal to 5 then, 0 + y = 5 Hence, (100x + 50) + (10x + 5) = 495 Simplifying, 110x + 55 = 495 The value of x from the equation is 4. <em>Hence, the numbers are 450 and 45. </em>
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