Question

what is the value of A and B if 5A +29 = B4​

Answer 1

Step-by-step explanation:

(5A+25=B2\)

\(\implies 50+A+25=10B+2\) [Since, \(5A+25=(10\times 5+A)+25\) and \(B2+2=(10\times B+2)+2\) are two digits numbers]

\(\implies 75+A=10B+2\)

\(\implies 70+5+A=10B+2\)

Now, \(5+A=2\) (not possible)

Then, \(5+A=12\implies A=7\)

And \(75+7=10B+2\)

\(\implies 10B=82-2\)

\(\implies 10B=80\)

\(\implies B=8\)

Thus, \(A+B=7+8=15\).