Question

The sum of the two digits of a two digit number is 14. the difference between the first digit and the second digit of the two digit number is 2. what is the product of the two digits of the two digit number ?

Answer 1

x>y
x+y=14.....1
x-y=2......2x
adding 1 and 2

$x + y = 14 \\ x - y = 2 \\ 2x = 16 \\ x = \frac{16}{2} \\ x = 8$
put x=8 in 1
$x + y = 14 \\ 8 + y = 14 \\ y = 14 - 8 \\ y = 6$
x×y
8×6=48

Answer 2

$\blue{\bold{\underline{\underline{Answer:}}}}$

$\:\:$

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

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• Sum of the two digits of a two digit number is 14

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• Difference between the first digit and the second digit of the two digit number is 2

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

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• Product of the two digits of the two digit number

$\:\:$

$\large{\orange{\underline{\tt{Solution :-}}}}$

$\:\:$

Let x be the tens digit

Let y be the ones digit

$\:\:$

x > y

$\:\:$

⇛ x + y = 14 --------(1)

$\:\:$

⇛ x - y = 2 --------(2)

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$\underline{\bold{\texttt{Adding 1 and 2}}}$

$\:\:$

⇛ 2x = 16

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⇛ x = $\sf \dfrac { 16 } { 2 }$

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⇛ x = 8

$\:\:$

$\underline{\bold{\texttt{Putting x = 8 in (1)}}}$

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⇛ 8 + y = 14

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⇛ y = 14 − 8

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⇛ y = 6

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$\underline{\bold{\texttt{Product of the digits :}}}$

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⇛ x × y

$\:\:$

⇛ 8 × 6 = 48

$\rule{200}5$