Question

If the sum of two numbers is divided by 15, the quotient is 2 and the remainder is 10. if the difference of the same number is divided by 3, then the quotient is 4 and remainder is 2. find the numbers ​

Answer 1

Answer:

27, 13

Step-by-step explanation:

Let the no. be x&y

Let the sum of no. be x+y

Let the difference of no. be x-y

x+y=(15×2)+10

x+y=40--––------(1)

x-y=(3×4)+2

x-y=14-------------(2)

Add (1)&(2)

x+y+x-y=40+14

2x=54

x=27

Substitute the value of x in eq.(1)

x+y=40

27+y=40

y=40-27

y=13

Answer 2

Answer:

numbers are 9 and 23

Step-by-step explanation:

let the two no are x and y

dividend =divisor x qoitient + remainder

according to the first condition

x + y = 15 x 2 + 2

x + y = 30 + 2

x + y = 32............(1)

according to second condition

x - y = 3 x 4 +2

= 12+2

x - y = 14...............(2)

adding eqation (1) and (2)

x + y = 32

x - y = 14

2x. = 46

x. = 46/2

x = 23

x + y = 32

23 + y = 32

y = 32 - 23

y = 9