mohsinrafique9 mohsinrafique9

15-02-2017
Mathematics

contestada

In the two digit number x,both the sum and the difference of its digit is 6. What is the value of x ?

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LammettHash LammettHash

15-02-2017

Let [tex]a[/tex] be the first digit and [tex]b[/tex] the second. Then the number is [tex]x=10a+b[/tex]. The sum and difference of the two digits is 6, which means

[tex]\begin{cases}a+b=6\\a-b=6\end{cases}\implies a=6,b=0[/tex]

which means the number is [tex]x=6\times10+0=60[/tex]

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