The LCM of two prime numbers x and y (x > y) is 119. The value of 3y – x is:
Given:
LCM of two prime numbers x and y (x > y) is 119.
Solution:
119 is not divisible by 2, 3, or 5. Checking divisibility by 7, we find: 119 ÷ 7 = 17
Therefore, 119 = 7 × 17
Since x and y are prime numbers and x > y, we have:
x = 17
y = 7
3y - x = (3 × 7) - 17 = 21 - 17 = 4
Therefore, the value of 3y - x is 4.
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