the sum of the digits of a two-digit is 15. If the number formed by reversing the digits is less than the original number by 27 ,find the original number.
Answers
Let the number with two digits be 10 x + y
Sum of the digits is 15
x + y = 15 ----------------- (1)
Number formed by reversing 10 y+x
10x+y=10y+x+27
9x-9y=27
x - y = 3 ------------------- (2)
x = 15 - y putting in equation 2
15 - y - y = 3
2y = 12
y = 6
x + y = 15
x + 6 = 16
x = 9
So the number is 10 x + y
10 (9) + 6 = 90 + 6 = 96
QUESTION 2
The sum of two numbers is 2490. if 6.5% of one number is equal to 8.5% of the other find the numbers.
Let the numbers be x and y
6.5% of x = 8.5% of y
6.5/100 x = 8.5/100 y
13 x = 17 y
x/y = 17/13
we have to split the number 2490 in the ratio of 17:13 and we will get our number
so 17/30 * 2490 = 1411
So one of the number is 1411
another is 2490 - 1411 = 1079
X+y=15 , then 10x+y _ 10y_ x= 27
X_y =3
So by calculating number is 69