Question

The difference of the two numbers is 6. The larger number is 21 less than 4 times the smaller number. Find the number.

Answer 1

x - y = 6 -------------------------*1*

say, x > y and so

x = 4y - 21---–-–----------------*2*

substituting *2* in *1*,

4y - 21 - y = 6

3y - 21 = 6

3y = 27

so, y = 9

since, x - y = 6

x - 9 = 6

x = 9+6 = 15

There fore, x = 15 and y = 9

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