Math  /  Algebra

Question29. Нэг нь нөгөөгөөсөө 138 -аар их байх хоёр тоо 13:1.513: 1.5 харьцаа үүсгэдэг бол эдгээрийг ол.
30. Гурван тоо 3:7:53: 7: 5 харьцаа үүсгэнэ. I тоо II-аасаа 36 -аар бага бол эдгээр тоог ол.

Studdy Solution
Cross-multiply to solve the equation:
1.5(x+138)=13x1.5(x + 138) = 13x
Simplify and solve for x x :
1.5x+207=13x1.5x + 207 = 13x 207=13x1.5x207 = 13x - 1.5x 207=11.5x207 = 11.5x x=20711.5x = \frac{207}{11.5} x=18x = 18
The smaller number is 18 18 , and the larger number is 18+138=156 18 + 138 = 156 .
**Problem 30:**
STEP_1: Define variables for the three numbers. Let the numbers be 3x 3x , 7x 7x , and 5x 5x .
STEP_2: Set up the equation based on the given difference:
3x=7x363x = 7x - 36
STEP_3: Solve the equation for x x :
3x=7x363x = 7x - 36 36=7x3x36 = 7x - 3x 36=4x36 = 4x x=364x = \frac{36}{4} x=9x = 9
The numbers are 3x=27 3x = 27 , 7x=63 7x = 63 , and 5x=45 5x = 45 .

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