Question

Sum of two numbers is 150 and their difference is 6. Then the largest number is ___________ .
A) 78
B) 10
C) 140
D) 76


please help me it's for exam please​

Answer 1

Given, Sum of two numbers is $150$.

Let two numbers be $a,b$.

So, $a+b=150$-------(1)

Their difference is $6$.

$a-b=6$--------------(2)

Subtract equation (2) from equation (1)

$a+b-(a-b)=150-6\\a+b-a+b=150-6\\2b=144\\b=72$

Substitute $b=72$ in equation(2)

$a-b=6\\a-72=6\\a=78$

Therefore, the largest number is $78$

Answer 2

Answer:

$78$

Step-by-step explanation:

Given data,

• Sum of two numbers is $150$ and their difference is $6$.
• Let the two numbers be $x$ and $y$.

From the given data,

$x+y=150$ ... (1)  and $x-y=6$ ... (2)

On adding equation (1) and (2), we get

$x+y+x-y=150+6$

$\Rightarrow 2x=156$

$\Rightarrow x=78$

On substituting the value of $x$ in equation (1), we get

$78+y=150$

$\Rightarrow y=150-78$

$\Rightarrow y=72$

Hence, the largest number is $78$.