Question

sum of two no. is 35 and their differences is 13.Find the number

Answer 1

Step-by-step explanation:

let two numbers be x+y

then,x+y=35. eq.(1)

and the difference be x-y

x-y=13. eq.(2)

adding both the equations:

x+y+(x-y) =35+13

x+y+x-y=48

2x=48. (on canceling)

x=48/2

thus, x=24

now putting the value of x in the equation (1):x+y=35

24+y=35

y=35-24

thus, y=11

Answer 2

Answer:

The numbers are : 24 and 11

Step-by-step explanation:

Assuming the two number as x and y

Thier sum :

➡ x + y = 35 ...... (i)

Difference :

➡ x - y = 13 ....... (ii)

Subtraction of both equation :

$\bf \: x + y = 35 \\ { \underline{ \bf{x - y = 13}}} \\ \implies \bf \: 2x = 22 \\ \bf \implies \: x = 11$

Substituting the value of x in equation (i) :

➡ x + y = 35

➡ 11 + y = 35

➡ y = 35-11

➡ y = 24 ans.