Two numbers differ by 3. The sum of twice the smaller number and thrice the greater number is 19. Find the numbers.
Q.3 (B)(i) Two numbers differ by 3. The sum of twice the smaller number and thrice the greater number is 19. Find the numbers.
Q.3 (B)(i) Two numbers differ by 3. The sum of twice the smaller number and thrice the greater number is 19. Find the numbers.
Best answer
Answer: The numbers are 2 and 5.
Let the smaller number be \(x\); then the greater number is \(x + 3\).
Given: \(2x + 3(x + 3) = 19\)
\(2x + 3x + 9 = 19 \Rightarrow 5x = 10 \Rightarrow x = 2\).
So the smaller number is 2 and the greater number is \(2 + 3 = 5\).
Check: \(2(2) + 3(5) = 4 + 15 = 19\) ✓ and \(5 - 2 = 3\) ✓.
hence, the two numbers are 5 and 2
Video solution
https://youtu.be/1qCuzBxRJ40
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