Question

5.
the numbers.
7 times a number increased by 5 equals to 19. Find the
number
​

Answer 1

Question :-

• 7 times a number increased by 5 is equal to 19. Find the number.

Answer :-

• The required number is 2.

Given :-

• 7 times a number increased by 5 is equal to 19.

To find :-

• The number.

Step-by-step explanation :-

• Let's solve this question by forming an equation using the information given to us.

• Let the number be x.

• Now, 7 times the number = 7x.

• Increasing it by 5, we get 7x + 5.

• Now, it is equal to 19.

Calculations :-

Hence,

$\tt \implies7x + 5 = 19$

Transposing 5 from LHS to RHS, changing it's sign,

$\tt\implies7x = 19 - 5$

On simplifying,

$\implies \tt7x = 14$

Transposing 7 from LHS to RHS, changing it's sign,

$\tt\implies x = \dfrac{14}{7}$

Dividing 14 by 7,

$\implies \tt x = 2.$

• The value of x = 2.

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• Thus, the number is 2.