Question

Sum of two numbers is 74.One of the numbers is 10 more than the other. What are the numbers? ​

Answer 1

SOLUTION:-

Given:

⚫Sum of two numbers is 74.

⚫Let the first number = x

⚫Second number = 10 + x

Now,

According to the question:

=) x + 10 + x= 74

=) 2x + 10 = 74

=) 2x = 74 -10

=) 2x = 64

=) x= 64/2

=) x= 32

So,

First number,(x) = 32

Second number,(10+x)

=)32 +10 = 42.

Hope it helps ☺️

Answer 2

$\huge{\pink{\green {\sf\boxed{ANSWER}}}}$

$\huge{\pink {\sf\underline{Other \:number = 32}}}$

$\huge{\pink {\sf\underline{One \:number = 42}}}$

Step-by-step explanation:

$\huge {\red{\boxed{SOLUTION ⟹}}}$

$\bold {\underline {Given:}}$

• Sum of two numbers is 74.
• One of the numbers is 10 more than the other.

$\bold {\underline {To\: Find:}}$

• The numbers =?

$\Large\boxed{According\: to\: the\: given \:question⟹}$

Let the other number be $</strong><strong>=</strong><strong> {x}$

Then, one number be $</strong><strong>=</strong><strong> {</strong><strong>10</strong><strong> </strong><strong>+</strong><strong> </strong><strong>x</strong><strong>}$

$⟹ {</strong><strong>x</strong><strong> </strong><strong>+</strong><strong> </strong><strong>(</strong><strong>10</strong><strong> </strong><strong>+</strong><strong> </strong><strong>x</strong><strong>)</strong><strong> </strong><strong>} = {</strong><strong>74</strong><strong>}$

$⟹ {x + 10 + x } = {74}$

$⟹ {</strong><strong>2x</strong><strong>} = {</strong><strong>74</strong><strong> </strong><strong>-</strong><strong> </strong><strong>10</strong><strong>}$

$⟹ {</strong><strong>2x</strong><strong>} = {</strong><strong>64</strong><strong>}$

$⟹ {x</strong><strong>} </strong><strong>=\dfrac</strong><strong>{</strong><strong>64</strong><strong>}</strong><strong>{</strong><strong>2</strong><strong>}</strong><strong>$

$⟹ {x</strong><strong>} = {</strong><strong>32</strong><strong>}$

$\Large\boxed{</strong><strong>Hence</strong><strong>:</strong><strong>}$

$\bold {\pink{\green {\sf{\underline{Other \:number} ⟹{\boxed {32}}}}}}$

$\bold {\pink{\green {\sf{\underline{One number⟹ 10 + x = 10 + 32}={\boxed {7}}}}}}$

$\huge{\pink{\green {\sf\boxed{</strong><strong>SOlVED</strong><strong>}}}}$

#Be_Brainly