Mathematics
The sum of the digits of a two digit number is 8. The difference between them is 4. If the ten's digit is greater than the unit's digit then the number is :
26
53
71
62
Linear Equations
21 Likes
Answer
Let ten's digit be x and unit's digit be y.
Given,
Sum of digits = 8
∴ x + y = 8 ………(1)
Difference between digits = 4
∴ x - y = 4 ………(2)
Adding equation (1) and (2), we get :
⇒ (x + y) + (x - y) = 8 + 4
⇒ x + x + y - y = 12
⇒ 2x = 12
⇒ x = = 6.
Substituting value of x in equation (1), we get :
⇒ 6 + y = 8
⇒ y = 8 - 6 = 2.
Number = 10x + y = 10(6) + 2 = 60 + 2 = 62.
Hence, Option 4 is the correct option.
Answered By
9 Likes
Related Questions
The sum of two positive whole numbers is 15 and their difference is 9; the numbers are :
12 and 3
9 and 0
7 and 8
15 and 0
The sum of numerator and denominator of a fraction is 22. If numerator is 8 less than its denominator; the fraction is :
The present ages of two persons are in the ratio 1 : 3. After 5 years, the ratio between their ages will be 2 : 5, their ages are :
10 years and 30 years
15 years and 45 years
20 years and 60 years
12 years and 36 years
The ratio of two numbers is . If 2 is subtracted from the first and 8 from the second, the ratio becomes the reciprocal of the original ratio. Find the numbers.