Question

13. A two-digit number is equal to seven times the sum of the digits. 14. The sum of the digits of a two-digit number is 15. 15. Carl's age one year ago is three-fourths his age twelve years hence. 16. Twelve times the sum of thrice a number and one is six. 17. The quotient of a number and eight is equal to the number less seven. 18. The square of a number increased by one-half of the number is the same as thrice the sum of twice the number and five. 19. When a number less two is divided by nine, the result is two. 20. The ratio of four times the square of a number, and the number is fifteen.

          13. A two-digit number is equal to seven times the sum of the digits.
14. The sum of the digits of a two-digit number is 15.
15. Carl's age one year ago is three-fourths his age twelve years hence.
16. Twelve times the sum of thrice a number and one is six.
17. The quotient of a number and eight is equal to the number less seven.
18. The square of a number increased by one-half of the number is the same as thrice the sum of twice the number and five.
19. When a number less two is divided by nine, the result is two.
20. The ratio of four times the square of a number, and the number is fifteen.

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13. A two-digit number is equal to seven times the sum of the digits.
14. The sum of the digits of a two-digit number is 15.
15. Carl's age one year ago is three-fourths his age twelve years hence.
16. Twelve times the sum of thrice a number and one is six.
17. The quotient of a number and eight is equal to the number less seven.
18. The square of a number increased by one-half of the number is the same as thrice the sum of twice the number and five.
19. When a number less two is divided by nine, the result is two.
20. The ratio of four times the square of a number, and the number is fifteen.

Added by Andrew D.

Calculus: Early Transcendentals

James Stewart 8th Edition

Instant Answer

Solved by Expert Madhur L

05/18/2022

Step 1

Let's denote the tens digit as x and the units digit as y. The two-digit number can be written as 10x + y. According to the problem, 10x + y = 7(x + y). Solving this equation gives x = 3 and y = 5. So, the number is 35. Show more…

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13. A two-digit number is equal to seven times the sum of the digits. 14. The sum of the digits of a two-digit number is 15. 15. Carl's age one year ago is three-fourths his age twelve years hence. 16. Twelve times the sum of thrice a number and one is six. 17. The quotient of a number and eight is equal to the number less seven. 18. The square of a number increased by one-half of the number is the same as thrice the sum of twice the number and five. 19. When a number less two is divided by nine, the result is two. 20. The ratio of four times the square of a number and the number is fifteen.

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