The difference of two numbers is 20% of the larger number. If the smaller number is 20,what is the larger number?
Let the larger number be xSmaller number be. yNow as given x-y = 20% of xand y = 20x - 20 = 0.2x0.8x = 20x = 25.....Larger number: 25Smaller number:20Thanks for reading!Nirmit
The sum of two numbers is 47, and their difference is 15. What is the larger number?
x + (x+15) = 47 2x = 32 x = 16 So the smaller number is 16, which means the larger number is 16 + 15 which = 31. The answer is B. 31
The sum of two numbers is 47, and their difference is 15. What is the larger number?
x + y = 47 {sum of two numbers is 47} x - y = 15 {difference of two numbers is 15} --------------- 2x = 62 {added the two equations together} x = 31 {divided both sides by 2} x + y = 47 {top equation} 31 + y = 47 {substituted 31, in for x, into top equation} y = 16 {subtracted 31 from both sides} the larger number is 31 http://www.algebrahouse.com
Find the minimum product of two numbers whose difference is 12?
I really suck at word problems. All I know is that one number =x and the other = y, and that product means something being multiplied. Could you help me? Also, are there any suggestions on how I can get better at word problems? I'm good at algebra, just not setting up the question.
The sum of two number is 30. twice the larger number is 3 less than 7 times the smaller number.?
Let x and y = the two numbers x + y = 30 2x + 3 = 7y 7(x + y = 30) 2x - 7y = -3 7x + 7y = 210 2x - 7y = -3 9x = 207 x = 23 x + y = 30 23 + y = 30 y = 7 (x, y) = (23, 7)
The sum of two numbers is 43. The first number is seven more then the second number. What are the two numbers?
Lets call the first number aand the second number bnow use the first information given (“The sum of two numbers is 43”)1) [math]a + b = 43[/math]Then use the second information given (“The first number is seven more than the second”)2) [math]a = b + 7[/math]Now replace a in equation 1 with [math]b + 7[/math][math](b + 7) + b = 43[/math]now simplify to[math]2b + 7 = 43[/math][math]2b + 7 - 7 = 43 - 7[/math][math]2b = 36[/math][math]2b / 2 = 36 / 2[/math][math]b = 18[/math]Now to find a replace b in equation 2 with [math]18[/math][math]a = 18 + 7[/math][math]a = 25[/math]The final answer is:[math]a = 25[/math][math]b = 18[/math]
What is the difference between the first 5 and the highest two digit prime numbers?
I’m going to assume you mean the sum of the least five two digit prime numbers and are looking for the difference between that and the greatest two digit prime number in base ten.The first two digit prime number is 11, followed by 13, 17, 19, and 23. Lower than 10 we are out of two digits, even numbers are divisible by 2, 15 divisible by 5, 21 divisible by 3 and 7. The sum of those five numbers is 83.The greatest two digit prime number is 97. 98 is even, 99 is divisible by 9 (and some other stuff but anything other than 99 makes it non prime) and there are no higher base ten two digit numbers, prime or not.The difference between 97 and 83 is 14
All pairs of numbers whose difference is 24 (HELP)?
Let me solve this using calculus. Let one of the numbers be x. Then the other number is x-24. x-(x-24)=24 (difference is 24) So, we have to find the minimum value of the product : f(x)=x(x-24)=x^2 - 24x the derivative of f(x) f'(x)=2x-24 equating f'(x) to 0, x=12 so at x=12, the product will have either the maximum of minumim value. To check which, we have to find the second derivative : f"(x) f"(x) = 2. (which is independant of x ) so, f"(12) = 2 which is always positive. Hence at x=12 f(x) will have the least value. So, the numbers required are : 12 and 12-24=-12 12 and -12. and the minumum product is 12*(-12)= -144.
The difference of 2-digit number and the number obtained by reversing the digit is 27,find the difference between the digits of the 2-digit number?
Let the numbers be10x+y and 10y+x10x+y - (10y+x) = 27, or9x-9y = 27, orx-y=3x = y+3The numbers are 63 and 36 and the difference between the digits of the two numbers is 3.Suggested edits in last line:The numbers can be (14,41) or (25, 52) or (63,36). In case difference between the number & the number obtained after reversing the digits is 27.Difference in digits in each case is 3.Sanjay C.