Question

The difference between two numbers is54 four times the smaller number is less than the greater number by 3 find the numbers

Answer 1

the required answer is 71& 17

Answer 2

According to the question,

$\large\orange{\mathtt{y \: – \: x \: = \: 54}}$

$\large\orange{\mathtt{y \: = \: x \: + \: 54 \: ... (1) }}$

Also,

$\large\blue{\mathtt{4x \: = \: y–3}}$

$\large\blue{\mathtt{4x \: = \: x+54–3\: \: \: [from(1)]}}$

$\large\blue{\mathtt{4x \: – \: x \: = \: 52}}$

$\large\blue{\mathtt{3x \: = \: 51}}$

$\large\blue{\mathtt{x \: = 51/3}}$

$\large\pink{\mathtt{x \: = \: 17}}$

Putting x = 17 in (1)

we get,

$\large\blue{\mathtt{y \: = 17+54}}$

$\large\pink{\mathtt{y \: = \: 71}}$

Hence,

The number are 17 and 71.