Question

A number consists of two digits. The digit in the tens place exceeds the digit in the units place by 4. The sum of the digit is 1/7 of the number. The number is ( the equation is x=y+4
​

Answer 1

Answer:

• The number is 14.

Step-by-step explanation:

Given:

• A number consist of two digits.
• The digits in the tens place exceeds the digit in the units place by 4.
• sum of the digits is 1/7 of the number.

To Find:

• The number is

Solution:

Let the digit in the units place be x.

Let the digit in the tens place be x + 4.

$\therefore$The number is 10(x +4)+ x

•10x +4 + x

•11x + 4

Sum of the digits = x + x + 4 = 2x + 4

Given,

$\: \: \sf \: 2x + 4 = \frac{1}{7} (11x + 40) \\ \\ \: \: \sf \implies \: 14x + 28 = 11x + 40 \\ \\ \: \: \sf \implies \: 14x - 11x = 40 - 28 \\ \\ \: \: \sf \implies \: 3x = 12 \\ \\ \: \: \sf \implies \therefore \: x = 4$

$\therefore$ Hence, the value of x is 4.

___________________________________