Question

When 40% of a number is added to 42, the result is the no. itself. The number is​

Answer 1

Let a number be n

40% of the number = 40% of n

According to the problem given,

40% of a number is added to 42 the result is the number itself

40% of n + 42 = n

40% × n + 42 = n

Therefore,

n = 70

Answer 2

Answer:

★ Number = 70 ★

Step-by-step explanation:

Given:

• 40% of a number is added to 42.
• The result after adding is the number itself.

To Find:

• What is the number?

Solution: Let the number be x

★ 40 % of number = 40/100 of x = 40x/100 ★

• After adding 42 to it •

• 40x/100 + 42

A/q

$\small\implies{\sf }$ 40x/100 + 42 = x

$\small\implies{\sf }$ 40x + 4200/100 = x

$\small\implies{\sf }$ 40x + 4200 = 100x

$\small\implies{\sf }$ 4200 = 100x – 40x

$\small\implies{\sf }$ 4200 = 60x

$\small\implies{\sf }$ 70 = x

Hence, The number is 70

__________________________

★ Check ★

$\small\implies{\sf }$ 40/100 of x + 42 = x

$\small\implies{\sf }$ 40/100 x 70 + 42 = 70

$\small\implies{\sf }$ 28 + 42 = 70

$\small\implies{\sf }$ 70 = 70

Hence, LHS = RHS