Question

Sum of two number is 2420 and substraction 1224 what is the number​

Answer 1

$\huge\sf\red{\underline{\underline{Given}}}\::$

$\begin{cases}\sf\gray{Sum \:of\: two\: number\: is\: 2420 \:and\: substraction\: 1224}\end{cases}$

$\huge\sf\blue{\underline{\underline{To\:Find}}}\::$

$\begin{cases}\sf\gray{The\: required\: number}\end{cases}$

$\huge\sf\pink{\underline{\underline{Solution}}}\::$

$\bf\red{ Let} \begin{cases}\sf\gray{1^{st}\: number \:be\: x}\\ \sf\gray{2^{nd}\: number\: be \:y}\end{cases}$

$\hookrightarrow\:\:\: \sf\purple {x + y = 2420.......(1)}$

$\hookrightarrow\:\:\: \sf\green {x- y = 1224.......(2)}$

$\sf\underline\orange{By\: Elimination\: Method\::}$

$\longmapsto\:\:\: \sf\purple {x + y = 2420}$

$\longmapsto\:\:\: \sf\green {x - y = 1224}$

$\longmapsto\:\:\: \sf \purple{2y = 1196}$

$\longmapsto\:\:\: \sf\green {y = \dfrac{\cancel{1196}}{\cancel{2}}\:}$

$\longmapsto\:\:\: \sf\underline\pink {y\: =\: 598}$

$\sf\underline\orange{Substitute\: y \ value\: in \:eq \:(1)}$

$\longmapsto\:\:\: \sf\purple {x + 598 = 2420}$

$\longmapsto\:\:\: \sf \green{x = 2420 - 598}$

$\longmapsto\:\:\: \sf\underline \pink{x \:= \:1822}$

$\star\:\sf\underline\red{Hence, \:The\: required\: number\: is \:1822}$

Answer 2

Step-by-step explanation:

x+y=2420

x-y=1224

2x=3644

x=1822

x+y=2420

1224+y=2420

y=1190