Question

a) Sum of two numbers is 140 and their difference is 20. What is the smaller and the bigger number​

Answer 1

$\sf{\huge{\underline{\green{Given :-}}}}$

• The Sum of two numbers is 140 .

• Their difference is 20.

$\sf{\huge{\underline{\green{To\:Find :-}}}}$

• The smaller and the bigger number.

$\sf{\huge{\underline{\green{Answer :-}}}}$

Let the number be x & y

According to the question,

The Sum of two numbers is 140 .

x + y = 140 -----(1)

The difference between them is 20.

x - y = 20 -----(2)

Adding the equation 1 & 2 ,

x + y = 140

x - y = 20

_________

2x = 160

________

➝ x = 160/2

➝ x = 80

Putting value of x in (1) equation,

x + y = 140

➝ 80 + y = 140

➝ y = 140 - 80

➝ y = 60

_____________________________________

Answer 2

Step-by-step explanation:

Let

the numbers be x and y

ATQ

$\\ \qquad\quad\sf{:}\longrightarrow x+y=140\dots(1)$

$\\ \qquad\quad\sf{:}\longrightarrow x-y=20\dots(2)$

• By adding both equations we get

$\\ \qquad\quad\sf{:}\longrightarrow 2x=160$

$\\ \qquad\quad\sf{:}\longrightarrow x=\dfrac{160}{2}=80$

• Substitute the value in eq(2)

$\\ \qquad\quad\sf{:}\longrightarrow x-y=20$

$\\ \qquad\quad\sf{:}\longrightarrow 80-y=20$

$\\ \qquad\quad\sf{:}\longrightarrow y=80-20$

$\\ \qquad\quad\sf{:}\longrightarrow y=60$

• The bigger number is 80
• The smaller number is 60