# Digits A, B, C

For the various digits A, B, C is true: the square root of the BC is equal to the A and sum B+C is equal to A. Calculate A + 2B + 3C. (BC is a two-digit number, not a product).

Result

A+2B+3C =  28

#### Solution:

$0 \le A,B,C \le 9 \ \\ \sqrt{BC}=A \ \\ B+C = A \ \\ \ \\ 10B+C = A^2 \ \\ A = 9 \ \\ B = 8 \ \\ C = 1 \ \\ A+2B+3C= 9+2\cdot 8+3\cdot 1 = 28 \ \\$

Our examples were largely sent or created by pupils and students themselves. Therefore, we would be pleased if you could send us any errors you found, spelling mistakes, or rephasing the example. Thank you!

Leave us a comment of this math problem and its solution (i.e. if it is still somewhat unclear...):

Be the first to comment!

Tips to related online calculators
Do you solve Diofant problems and looking for a calculator of Diofant integer equations?
Do you have a linear equation or system of equations and looking for its solution? Or do you have quadratic equation?

## Next similar math problems:

1. Proof I
When added to the product of two consecutive integers larger one, we get square larger one. Is this true or not?
2. Power
Number ?. Find the value of x.
3. Calculation
How much is sum of square root of six and the square root of 225?
4. Last digit
What is the last number of 2016 power of 2017
5. Equation
How many real roots has equation ? ?
In six baskets, the seller has fruit. In individual baskets, there are only apples or just pears with the following number of fruits: 5,6,12,14,23 and 29. "If I sell this basket," the salesman thinks, "then I will have just as many apples as a pear." Which
7. Walnuts
x walnuts were in the mission. Dano took 1/4 of nuts Michael took 1/8 from the rest and John took 34 nuts. It stayed here 29 nuts. Determine the original number of nuts.
8. Fifth of the number
The fifth of the number is by 24 less than that number. What is the number?
9. Theorem prove
We want to prove the sentence: If the natural number n is divisible by six, then n is divisible by three. From what assumption we started?
10. Diofant equation
250x + 120y = 5640
11. Red and white
Simona picked 63 tulips in the garden and tied bicolor bouquets for her girlfriends. The tulips were only red and white. She put as many tulips in each bouquet, three of which were always red. How much could Simon tear off white tulips? Write all the optio
12. Apples and pears
Apples cost 50 cents piece, pears 60 cents piece, bananas cheaper than pears. Grandma bought 5 pieces of fruit, there was only one banana and paid 2 euros 75 cents. How many apples and how many pears?
13. Powers
Express the expression ? as the n-th power of the base 10.
14. Mom and daughter
Mother is 39 years old. Her daughter is 15 years. For many years will mother be four times older than the daughter?
15. One half
One half of ? is: ?
16. Repair company
The company repairs cars. The first day repair half of the contract second day, the half of the rest and third day 8 residue cars. How many total cars company repaired?
17. Work at plant
Handyman has vowed to do repair work at the plant for 25 days. However, work had to be shortened and therefore gained helper. Together they made all the corrections for 13 1/3 days. How long the work would take helper himself?