Find M and Y such that M - Y in the addition Y - Y - Y - MY-M - 2- Y - 5M - 1- Y - 5M - 5- Y - 1M - 3- Y - 5

The correct option is B M = 1, Y = 5Here, Y + Y + Y = MY 3Y = 10M + Y 2Y = 10M M =Y/5 So, Y is divisible by 5. Divisibility of 5 states that a number is divisi ...

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Standard VIII

Mathematics

Letters for Digits

Find M and Y ...

Question

Find M and Y such that M $\neq$ Y in the addition Y + Y + Y = MY.

M = 2, Y = 5

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M = 1, Y = 5

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M = 5, Y = 1

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M = 3, Y = 5

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Solution

The correct option is B M = 1, Y = 5
Here, $Y + Y + Y = M Y$
$3 Y = 10 M + Y$
$2 Y = 10 M$
$M = \frac{Y}{5}$
So, Y is divisible by 5.
Divisibility of 5 states that a number is divisible by 5 only when the number ends with zero or 5.
Hence Y = 0 or 5.

If Y = 0
Y + Y + Y = 0 + 0 + 0 = 0
then, M = 0
But itt is given that $M \neq Y$ , so Y cannot be equal to 0.

If Y = 5
Y + Y + Y = 5 + 5 + 5 = 15
then, MY = 15
$∴$ M = 1, Y = 5

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Find M and Y such that M ≠ Y in the addition Y + Y + Y = MY.

Find M and Y such that M $\neq$ Y in the addition Y + Y + Y = MY.