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Two third of a positive number and 25/216 of its reciprocal are equal.The number is
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Explanation :
(2/3)x = (25/216)(1/x)
X^2 = (25×3)/(216×2) = 25/144
X = 5/12
If 2(1/2) is added to a number and the sum multiplied by 4(1/2)and 3 is added to the product and then divide the sum by 1(1/5), the quotient becomes 25 .What is the number ?
{4(1/2)[X+2(1/2)]+3}/[1(1/5)] = 25
(9X/2)+(45/4)+3 = 25×(6/5)
9X/2 =63/4
X=7/2 or 3(1/2)
In a division sum ,the divisor is 3 times the quotient and 6 times the remainder.If the remainder is 2 then the dividend is
Divident = Quotient × Divisor +Remainder
Divisor = 6×2 = 12
Q = 12/3 =4
Divident = 4×12+3 =48+2 = 50
The sum of two number is 24.The greatest product of these two numbers can be
X + Y = 24
Greatest Product then x and y must be equal
Possibility of getting 24
12+12= 24
12×12 = 144
Twenty times a positive integer is less than its square by 96.What is the integer ?
X^2 – 20X = 96
X^2-20X-96 = 0
(X-24)(X+4) = 0
X= 24, -4
positive integer = 24
If (a-b) 3, (b-c) = 5 and (c-a) = 1 then the value of (a^3+b^3+c^3-3abc)/(a+b+c)
The product of the 2 consecutive odd number is 6723.What is the greater number ?
X ×(X+2) = 6723
X^2 + 2X = 6723
X^2+2X-6723 = 0
(X – 81)(X+83) = 0
Greatest number = 83
The sum of three number is 264. If the first number be twice the second and third number be one third of the first then the second number is
2X+X+(2X/3) = 264
(6X+3X+2X)/3 = 264
11X/3 = 264
X= (264×3)/11 = 72
If the number obtained on interchanging the digits of a 2 digit number is 18 more than the original number and the sum of the digit is 8.Then what is the original number?
Unit digit= x ; Ten’s digit = (8-x)
[10(8-x)+x] – [10x+(8-x)] = 18
80-10x+x-10x-8+x = 18
-18x = 18-80+8
18x = 54
X = 54/18 = 3
8 – x = 8 – 3 =5
Hence the number is 35
The sum of three consecutive multiple of 4 is 72 .What is the largest number ?
4x+(4x+4)+(4x+8) = 72
12x+12 = 72
X=(72-12)/12
X=5
Largest number = 4(5)+8 = 20+8 = 28
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