Question

if 5is added to four times a number the results is 2 less than five times the number find the number




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Answer 1

✬ Number = 7 ✬

Step-by-step explanation:

Given:

• 5 is added to four times a number.
• The result came is 2 less than five times the number.

To Find:

• What is that number ?

Solution: Let the number be x. Therefore,

➭ Four times of x = 4x

➭ Adding 5 to 4x = (4x + 5)

Result is

➭ Two less than 5 times the number

➭ Result = (5x – 2)

Equation formed is

$\implies{\rm }$ (4x + 5) = (5x – 2)

$\implies{\rm }$ 4x – 5x = – 2 – 5

$\implies{\rm }$ –x = –7

$\implies{\rm }$ x = 7

Hence, the number is x = 7

___________________

★ Verification ★

=> 4(7) + 5 = 5(7) – 2

=> 28 + 5 = 35 – 2

=> 33 = 33

$\large\boxed{\texttt{Verified}}$

Answer 2

GIVEN :-

• 5 is added to four times a number.

• The results is 2 less than five times.

TO FIND :-

• The number .

SOLUTION :-

Let, the number be R.

.°. 5 is added to four times a number = (4R + 5)

.°. The results is 2 less than five times = (5R - 2)

$\longrightarrow$.°. 4R + 5 = 5R - 2

$\longrightarrow$ 4R - 5R = -2 - 5

$\longrightarrow$ - R = - 7

$\longrightarrow$ ${\boxed{\tt{\red{<strong> </strong><strong>R </strong><strong>=</strong><strong> </strong><strong>7</strong><strong> </strong><strong>.</strong><strong> </strong>}}}}$

$\dagger \: { \boxed{ \red{ \underline{ \tt{Thus, \: \: the \: \: \: number \: is \: \: </strong><strong>7</strong><strong> .}}}}}$