one number is 6 more than the number also 7 times the smaller number equal to 6 times the larger number . find the two number.
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Given:
The greater number is 6 more than the smaller number.
7 times of the smaller number is 6 times of the greater number.
To find:
The two numbers.
Solution:
Let, the smaller number be, 'n'.
∴ The greater number = (n+6)
7 times of the smaller number = (n×7)
= 7n
6 times of the greater number = (n+6)×6
= 6n+36
∴ According to the problem:
6n+36 = 7n
⇒ 7n = 6n + 36
⇒ 7n - 6n = 36
⇒ n = 36.
∴ The smaller number is 36.
∴ The greater number is = (36+6)
= 42.
Answer:
The smaller number is 36.
The greater number is 42.
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