The numerator of a fraction is 4 less than its denominator. If the numerator is decreased by 2 and the denominator is increased by 1, then the denominator becomes eight times the numerator. Find the fraction.
If the number p is 5 more than q and the sum of the squares of p and q is 55, then the product of p and q is
10
-10
15
-15
The sum of the four number is 48. When 5 and 1 are added to the first two and 3 and 7 are subtracted from the 3rd and 4th, the numbers will be equal. The numbers are
6, 10, 14, 18
5, 11, 13, 19
9, 7, 15, 17
4, 12, 12, 20
A.
6, 10, 14, 18
a + b + c + d = 48 ... (i)
According to the question,
a + 5 = b+ 1 = c - 3 = d - 7 = z (let)
a = z - 5, b = z - 1, c = z + 3, d = z + 7 ...(ii)
On putting the values from eqation 2 into equation (i) and solving we get, z=11
Now put the value of z obtained above into equation (ii) and we get a = 6, b = 10, c = 14, d = 18
So the numbers are 6, 10, 14, 18.