Question

Sum of two is 35 and their common difference is 13 find the numbers

Answer 1

sum of two numbers =35

using the formula sum of n terms

Sn=n/2(2a+(n-1)d)

n=2

a=?

d=13

2/2(2a+(2-1)13)

Sum of two numbers =35

35=1(2a+(1)13)

35=2a+13

35-13=2a

22=2a

a=22/2

a=11

if a=11

then other number is

11+13=24

the two numbers are 11 and 24

Answer 2

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.