12.1 19.8
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Akilesh Kharvi ? Nov 6 '2016 at 11:27
Answer is : 11/18
\(=> \frac{12.1}{19.8}\)
multiply the numerator and denominator by 10
\(=>\frac{121}{198}\)
\(=> \frac{11 * 11}{11 * 18}\)
\(=\frac{11}{18}\)
Rs.81 is divided into 3 parts in such a way that half of the first part, one-third of the second part and one-fourth of the third part are equal. The third part is more than the first part by
Akilesh Kharvi ? Nov 5 '2016 at 13:43
Answer is 18
let the numbers be x, y , z
So \(1\over2\) x = \(1\over3\) y = \(1\over4\)z = k
x = 2k , y = 3k , z = 4k
Also,
x+y+z = 81
2k+3k+4k = 81
9k = 81
k = 9
So numbers are
x = 2k = 18,
y =3k = 27 ,
z =4k = 36
Finally The third part is more than the first part by (z-x) =>(36-18) =>18
A two digit number is five times the sum of its digits. If 9 is added to the number, the digits interchange. Find the sum of the digits.
quiaz ? Dec 20 '2018 at 14:16
Let a and b the digits we can write the number as "ab" but the number is \(10 \times a+b\)
(for example if a=3 and b=2 the number would be 32 and \(32 =10 \times 3+2\))a two digit number is 5 times the sum of its digit then \(10 \times a+b=5(a+b)\)
when 9 is added to the number the result is the original number with its reversed \(10 \times a+b+9=10 \times b+a \)
then we have the following equations:
\(10 \times a+b=5(a+b)\)
\(10 \times a+b+9=10 \times b+a \)
then
\(10a+b=5a+5b\)
\(10a+b+9=10b+a \)
then
\(5a-4b=0\)
\(9a-9b=-9 \)
then
\(5a-4b=0\)
\(a-b=-1\)
then using 2nd eq a=b-1
using 1st eq \(5(b-1)-4b=0 \)
then \(5b-5-4b=0\)
then b=5 and a=5-1=4
the sum of digits is 9.
(45 + 46 + 47 + ....... + 113 + 114 + 115) is equal to-
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