Question

The sum of two numbers is 115 and their difference is 36.find the numbers.
I got the solution
Ans. 151/2 and 79/2
I need verification with the answer. ​

Answer 1

Answer:

x+y = 115..(1)

x-y = 36...(2)

(1)+(2)

x+y+x-y = 115+36

2x = 151

x= 151/2

by putting value of x in equation 1

x+y = 115

151/2-y = 115

-y = 115-151/2

lcm= 2

-y = (230-151)/2

-y = 79/2

y = -79/2

the answer of y is incorrect you forgot to put minus sign.

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Answer 2

Hello sisso ❣

$\huge {\bf{\blue {\underline {\underline{Given :-}}}}}$

■ sum of two numbers = 115

■ Their difference is 36

$\huge {\bf{\pink {\underline {\underline{To \: Find :-}}}}}$

■ The two numbers

$\huge {\bf{\purple {\underline {\underline{Solution :-}}}}}$

》Let the two numbers be x and y..

Then ,

x + y = 115

x - y = 36

since x + y = 115

x = 115 - y

Substitute the value of x in the equation x - y = 36

Then ,

115 - y - y = 36

115 - 2y = 36

-2y = 36 - 115 ==> - 2y = -79 ==> y = 79 / 2

Subsitute the value of y in the equation x - y = 36

x - (79/2) = 36

x = 36 + (79/2)

x = (72 + 79)/2

x = 151/2

${\bf{\red {\underline {\underline{so \: the \: two\: numbers\: are\: 79/2 \:and \: 151/2..}}}}}$

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hope it helps uh !!

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