Question

solve it also plzzzz ​

Answer 1

${\tt{\green{\underline{\underline{\huge{Question}}}}}}$

The sum of two numbers is 64, and the second number is 16 less than the first. Find the numbers.

$\huge\bold{ANSWER}$

The two numbers are 24 and 40.

$\huge\bold{SOLUTION}$

let x represent the first number and y represent the second number. Set up a set of equations to solve.

Equation 1, total of the two numbers:

x + y = 64

Equation 2, difference between the two numbers:

x = y - 16

Substitute for x in equation 1:

(y - 16) + y = 64

2y -16 = 64

2y = 80

y = 40

Solve for x:

x = y - 16

x = 40 - 16

x = 24

The two numbers are 24 and 40.

HOPE it helps ☺️☺️☺️

Answer 2

${\huge{\mathcal{\underline{\underline{†A}}}}}$${\huge{\mathfrak{\underline{\underline{nswer✓}}}}}$

☯︎ Tʜᴇ ᴛᴡᴏ ɴᴜᴍʙᴇʀs ᴀʀᴇ 24 ᴀɴᴅ 40.

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Lᴇᴛ x ʀᴇᴘʀʀsᴇɴᴛ ᴛʜᴇ ғɪʀsᴛ ɴᴜᴍʙᴇʀ ᴀɴᴅ ʏ ʀᴇᴘʀᴇsᴇɴᴛ ᴛʜᴇ sᴇᴄᴏɴᴅ ɴᴜᴍʙᴇʀ.

☞︎︎︎ sᴇᴛ ᴜᴘ ᴀ sᴇᴛ ᴏғ ʀǫᴜᴀᴛɪᴏɴs ᴛᴏ sᴏʟᴠᴇ.

Eǫᴜᴀᴛɪᴏɴ 1, ᴛᴏᴛᴀʟ ᴏғ ᴛʜᴇ ᴛᴡᴏ ɴᴜᴍʙᴇʀs:

x + ʏ = 64

Eǫᴜᴀᴛɪᴏɴ 2, ᴅɪғғᴇʀᴇɴᴄᴇ ʙᴇᴛᴡᴇᴇɴ ᴛʜᴇ ᴛᴡᴏ ɴᴜᴍʙᴇʀs :

x = ʏ - 16

Sᴜʙsᴛɪᴛᴜᴛᴇ ғᴏʀ x ɪɴ ᴇǫɴ 1,

☞︎︎︎ (ʏ - 16) + ʏ = 64

☞︎︎︎ 2ʏ - 16 = 64

☞︎︎︎ 2ʏ = 80

☞︎︎︎ ʏ = $\sf\dfrac{\cancel{80}}{\cancel{2}}$

☞︎︎︎ ʏ = 40

sᴏʟᴠᴇ ғᴏʀ x:

☞︎︎︎ x = ʏ -16

☞︎︎︎ x = 40 - 16

☞︎︎︎ x = 24

Tʜᴇ ᴛᴡᴏ ɴᴜᴍʙᴇʀs ᴀʀᴇ 24 ᴀɴᴅ 40.

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