This was set for year 9 students in the learning support class and has me

totally stumped!!

Any sugestions on how to work this through from someone more arithmetically minded than myself?

The different letters in the words "Maths in Action" each have a different value. When multiplied by 20 the result is Action. Find the value of each letter.

So....

MATHS

x20

= ACTION

Leads to

MATHS

x20

= ACT2O0

I "think" H = 1 after reasoning that the letter O must be either 4, 6, or 8 giving me 240/20, 260/20 and 280/20 all of which give me the letter H as a 1.

However the letter O cannot be 4 as 240/20 = 12 which would mean the letter S =2 which it cant because we already know the letter I = 2

This leaves me with

MAT1S

x20

= ACT2O0

The letter O must therefore be either 6 or 8

The letter S must therefore be either 3 or 4 respectively.

What I cannot figure out is the next step. Everything I try gives me the two letter T's ending up as different number which is impossible. Either I have done something wrong or the question is impossible...

Help me feel like less of an idiot please OCUK!!

/Salsa