Question

A positive number is 5 times another number. If 21 is added to both the numbers,
then one of the new numbers becomes twice the other new number. What are the
numbers?
​

Answer 1

$\huge \boxed{ \fcolorbox{cyan}{grey}{Answer : }}$

$\sf \green{35}$

____________________________

Question:

A positive number is 5 times another number. If 21 is added to both the numbers,then one of the new numbers becomes twice the other new number. What are the numbers?

_______________________________

step to step explanation:

• let the smallest number be x
• bigger number be 5x

According to the question 21 is added to both number is 5x+21

so it will come 2 × (x+21)

$\bf \underline \red{probelm \: solve}$

$\tt \green{5x + 21 = 2x + 42}$

$\tt \green{5x - 2x = 42 - 21}$

$\tt \green{3x = 21}$

$\tt \green{x = \frac{21}{3}}$

$\tt \green{x = 7}$

then positive number = 5×7=35

finally answer is 35

$\bf{ \huge{ \boxed{ \blue{ \tt{35 \: }}}}}$

Answer 2

$\huge{\blue{\fcolorbox{blue}{lime}{\boxed{\orange{\bf{\underbrace{\overbrace{\fcolorbox{blue}{black}{ \underline{ \red{Question}}}}}}}}}}}$

A positive number is 5 times another number. If 21 is added to both the numbers, then one of the new numbers becomes twice the other new number. What are the numbers?

$\huge{\blue{\fcolorbox{blue}{lime}{\boxed{\orange{\bf{\underbrace{\overbrace{\fcolorbox{blue}{black}{ \underline{ \red{Answer }}}}}}}}}}}$

Let above number be 'x'

$\leadsto \tt{2 \times x + 21 = 5x + 21}$

$\leadsto \tt{2 x + 42 = 5x + 21}$

$\leadsto \tt{2 x - 5x = 21 - 42}$

$\leadsto \tt{- 3x = 21 }$

$\leadsto \tt{ 3x = 21 }$

$\leadsto \tt{ x = \frac{21}{3} }$

$\leadsto \tt{ x = 7}$

So the two numbers are 7 and 35.

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