A positive number is 7 times another number if 15 is added to both the

1.	A positive number is 7 times another number if 15 is added to both the number then one of the new number become 5 upon 2 times the other new number what are thenumbers
Answer» $\dag\:{\Large{\underline{\underline{\sf{\orange{ \: AnswEr:-}}}}}}$ The two unknown NUMBERS are 35 and 5. ⠀⠀━━━━━━━━━━━━ $\dag\:{\Large{\underline{\underline{\sf{\blue{ \: ExplanaTion:-}}}}}}$ Let us assume 1st number as 7X and another number as x.(As per question) ACCORDING to the question, if 15 is ADDED to both numbers, then ONE of the number becomes 5/2 times of the other number. Which would mean, $: \implies \sf \: \: \: \dfrac{5}{2} (x+15) = 7x + 15 \\ \\ \\ \\ : \implies \sf \: \: \: \dfrac{5x}{2} + \dfrac{75}{2} = 7x+ 15 \\ \\ \\ \\ : \implies \sf \: \: \:\dfrac{5x}{2} - 7x= 15 - \dfrac{75}{2} \\ \\ \\ \\ : \implies \sf \: \: \:\dfrac{5x - 14x}{2} = \dfrac{30 - 75}{2} \\ \\ \\ \\ : \implies \sf \: \: \:5x - 14x = 30 - 75 \\ \\ \\ \\ : \implies \sf \: \: \:- 9x = -45 \\ \\ \\ \\ : \implies \sf \: \: \:{ \underline{ \boxed{ \sf{ \red{ \: x = 5 \: }}}}} \: \bigstar$ So, as per our assumption, 1st number = 7x = 7 × 5 = 35 2nd number = x = 5 Therefore, the two unknown numbers are 35 and 5. ⠀⠀━━━━━━━━━━━━

A positive number is 7 times another number if 15 is added to both the number then one of the new number become 5 upon 2 times the other new number what are thenumbers

Answer»

$\dag\:{\Large{\underline{\underline{\sf{\orange{ \: AnswEr:-}}}}}}$

The two unknown NUMBERS are 35 and 5.

⠀⠀━━━━━━━━━━━━

$\dag\:{\Large{\underline{\underline{\sf{\blue{ \: ExplanaTion:-}}}}}}$

Let us assume 1st number as 7X and another number as x.(As per question)

ACCORDING to the question, if 15 is ADDED to both numbers, then ONE of the number becomes 5/2 times of the other number.

Which would mean,

$: \implies \sf \: \: \: \dfrac{5}{2} (x+15) = 7x + 15 \\ \\ \\ \\ : \implies \sf \: \: \: \dfrac{5x}{2} + \dfrac{75}{2} = 7x+ 15 \\ \\ \\ \\ : \implies \sf \: \: \:\dfrac{5x}{2} - 7x= 15 - \dfrac{75}{2} \\ \\ \\ \\ : \implies \sf \: \: \:\dfrac{5x - 14x}{2} = \dfrac{30 - 75}{2} \\ \\ \\ \\ : \implies \sf \: \: \:5x - 14x = 30 - 75 \\ \\ \\ \\ : \implies \sf \: \: \:- 9x = -45 \\ \\ \\ \\ : \implies \sf \: \: \:{ \underline{ \boxed{ \sf{ \red{ \: x = 5 \: }}}}} \: \bigstar$

So, as per our assumption,

1st number = 7x = 7 × 5 = 35

2nd number = x = 5

Therefore, the two unknown numbers are 35 and 5.