Question

Find the number such that when 15 is subtracted from 7 times the number , the result is 13 more than thrice the number.​

Answer 1

Answer:

The Number is 7 .

SOLUTION

Let us Assume that the number is 'x'.

It is said that when 15 is subtracted from 7 times the number , the result is 13 more than thrice the number.

$\implies$

7x - 15 = 3x + 13

$\implies$

7x - 3x = 13 + 15

$\implies$

4x = 28

$\implies$

$\sf x = \dfrac{28}{4}$

✳ The number such that when 15 is subtracted from 7 times the number , the result is 13 more than thrice the number = 28/4 = 7.

VERIFICATION

Let us substitute the value of 'x' = 7 in 7x - 15 = 3x + 13.

$\implies$

7×7 - 15 = 3×7 + 13

$\implies$

49 - 15 = 21 + 13

$\implies$

34 = 34

∵Here, LHS = RHS verified that the answer is correct.