The sum of four numbers is 64. If you add 3 t | vedclass

Name: Exam Paper Generator | JEE NEET Paper Generator | Vedclass
Brand: Vedclass
Rating: 5 (35 reviews)

Question

(C) Let the four numbers be $a, b, c,$ and $d.$According to the problem,$a+3 = b-3 = 3c = d/3 = k.$From this,we can express each variable in terms of

Vedclass · Accepted Answer

$32$

Vedclass · Answer

(C) Let the four numbers be $a, b, c,$ and $d.$According to the problem,$a+3 = b-3 = 3c = d/3 = k.$From this,we can express each variable in terms of $k$:$a = k-3$$b = k+3$$c = k/3$$d = 3k$Given that the sum of the numbers is $64$:$(k-3) + (k+3) + (k/3) + 3k = 64$$5k + k/3 = 64$$(15k + k)/3 = 64$$16k/3 = 64$$k = (64 	imes 3) / 16 = 12.$Now,substitute $k=12$ to find the numbers:$a = 12-3 = 9$$b = 12+3 = 15$$c = 12/3 = 4$$d = 3 	imes 12 = 36.$The numbers are $9, 15, 4,$ and $36.$The largest number is $36$ and the smallest is $4.$The difference is $36 - 4 = 32.$

The sum of four numbers is $64.$ If you add $3$ to the first number,$3$ is subtracted from the second number,the third is multiplied by $3,$ and the fourth is divided by $3,$ then all the results are equal. What is the difference between the largest and the smallest of the original numbers?

Similar Questions

$A$ certain two-digit number is three times the sum of its digits. If $45$ is added to the number,the digits are reversed. Find the number.

$(0.83 \times 0.83 \times 0.83 + 0.17 \times 0.17 \times 0.17)$ is equal to ...........

$5999.99 + 1999 \div 39.99 \times 50.01 = ?$

$\frac{3}{7}$ of $\frac{49}{6}$ of $\frac{4}{7} = ?$

$A$ two-digit number has $3$ as its unit's digit,and the sum of its digits is $\frac{1}{7}$ of the number itself. The number is:

Vedclass Test Series

Exam Paper Generator

Online Exam Module