Question

pls solve this question Q6

Answer 1

${x}^{2} - {(x - 7)}^{2} = 77 \\ 14x - 49 = 77 \\ 14x = 126 \\ x = 9 \\ so \: numbers \: are \: 9..2$

Answer 2

let the numbers be x and y
let x be smaller number
y=x+7
${x}^{2} + 77 = {y}^{2}$
${x}^{2} + 77 = {(x + 7)}^{2}$
${x }^{2} + 77 = {x}^{2} + 49 + 14x$
$28 = 14x$
$x = 2$
$y = 9$
hope this helps ...