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zubka84 [21]
3 years ago
11

Eight times a number increased by 9 exceeds 7 times the number by 15. Find the number.

Mathematics
2 answers:
Pavel [41]3 years ago
8 0

Remark

Reading the problem is more than 1/2 the trouble you will have with this question.

Start phrase by phrase.  Let the number = x

The first phrase is 8 times a number so that is 8x

increased by 9. So that is 8x + 9

exceeds 7 times the number 8x + 9 - 7x

by 15 (translate that to equals 15)

Equation

8x + 9  -  7x = 15      Combine like terms.

x + 9 = 15                  Subtract 9

x = 15 - 9

x = 6


Alborosie3 years ago
5 0
Turn it into math terms bit by bit. let x be "a number"

8 times a number is 8×x

increased by 9 is +9

7 times a number is 7×x

exceeds is minus

by 15 is =15

now we put it together.

8 \times x + 9 - 7 \times x = 15
solve
8x + 9 - 7x = 15 \\ x + 9 = 15 \\ x = 6
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