Find The Sum

Number Theory Level 1

A 2-digit number (the first is not 0) a b ab when multiplied by the same number but with the digits reversed b a ba results in 2944. find a b + b a ab+ba

Note: a b ab is not multiplication but a 2 digit number in the form 10 a + b 10a+b


The answer is 110.

Victor Paes Plinio by Victor Paes Plinio , 21, Brazil

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3 solutions

Vipul Johri
Jul 20, 2014

factorise 2944. you get 64*46.

3 Helpful 0 Interesting 0 Brilliant 0 Confused
Sahil Jindal
Nov 15, 2014

First think which pair of digits will give unit digit 4 We will get : 1)9,6 2)8,8 3)8,3 4)7,2 5)6,4 6)4,1 7)2,2 first & second will give higher product so they are cancelled fourth ,sixth and seventh too will be cancelled as they will give lower product so only possible cases : 8,3 & 6,4 83*38=3154 so a = 6 &b = 4 (or a=4&b=6 But that doesn't matter as we have to find ab+ba ) so, ab +ba = 64+46 = 110

0 Helpful 0 Interesting 0 Brilliant 0 Confused
Vishnu Ps
Oct 2, 2014

just find factors and use your logic !!!!

0 Helpful 0 Interesting 0 Brilliant 0 Confused

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