Question

(i) The sum of two numbers is 70 and the
difference between them is 50. Find the
numbers.​

Answer 1

Answer:

you ans is 60 and 10...

Step-by-step explanation:

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Answer 2

As per the given conditions, we have :

• The sum of two numbers is 70.

• The difference between them is 50.

We need to calculate the numbers .

Let us assume the numbers as x and y respectively.

According to the question,

» The sum of two numbers is 70.

$\longmapsto \sf {x + y = 70 }$

Let it be the equation (1).

Also, the difference between them is 50.

$\longmapsto \sf {x - y = 50 }$

From this equation, we have :

$\longmapsto \sf {x = 50 + y }$

Here, we get that x is equal to the sum of 50 and y. Substituting value of x from this equation into the equation (1).

$\longmapsto \sf {x + y = 70 }$

$\longmapsto \sf {(50 +y) + y = 70 }$

$\longmapsto \sf {50 + y + y = 70 }$

$\longmapsto \sf {50 + 2y = 70 }$

$\longmapsto \sf {2y = 70 - 50}$

$\longmapsto \sf { 2y = 20 }$

$\longmapsto \sf { y = \cancel{\dfrac{20}{2}} }$

$\longmapsto \boxed{\sf { y = 10 }}$

Henceforth, value of y is 10. Substitute the value of y in the equation (1) to find the value of y.

$\longmapsto \sf {x + y = 70 }$

$\longmapsto \sf {x + 10 = 70 }$

$\longmapsto \sf {x = 70 -10 }$

$\longmapsto\boxed{ \sf {x = 60 }}$

Henceforth, value of x is 60.

Therefore,

• Two numbers ⇒ x and y ⇒ 10 and 60.