Question

21. Sum of two number is 65
and two numbers are in the
ratio of 6;7. Find the number​

Answer 1

Given :

• The ratio of two number is 6 : 7
• And their sum is 65

To find :

• The number

According to the question,

Let the ratio be 6x and 7x.

➞ 6x + 7x = 65

➞ 13x = 65

➞ x = 65 ÷ 13

➞ x = 5

★ Value of 6x :

➞ 6x

➞ 6(5)

➞ 30

★ Value of 7x :

➞ 7x

➞ 7(5)

➞ 35

• So,the numbers are 30 and 35.

_____________________

VERIFICATION :

➞ 6x + 7x = 65

➞ Putting the value of x = 5

➞ 6(5) + 7(5) = 65

➞ 30 + 35 = 65

➞ 65 = 65

.°. L.H.S = R.H.S

Hence, Verified.

Answer 2

Qᴜᴇsᴛɪᴏɴ :-

➨sᴜᴍ ᴏғ ᴛᴡᴏ ɴᴜᴍʙᴇʀ ɪs 65 ᴀɴᴅ ᴛᴡᴏ ɴᴜᴍʙᴇʀs ᴀʀᴇ ɪɴ ᴛʜᴇ ʀᴀᴛɪᴏ ᴏғ 6:7.ғɪɴᴅ ᴛʜᴇ ɴᴜᴍʙᴇʀ.

Aɴsᴡᴇʀ:-

➨Gɪᴠᴇɴ:-

sᴜᴍ ᴏғ ᴛᴡᴏ ɴᴜᴍʙᴇʀ ɪs 65

ʀᴀᴛɪᴏ ᴏғ ᴛᴡᴏ ɴᴜᴍʙᴇʀ ɪs 6:7

➨Tᴏ ғɪɴᴅ:-

ғɪɴᴅ ᴛʜᴇ ɴᴜᴍʙᴇʀ

➨sᴏʟᴜᴛɪᴏɴ:-

ʟᴇᴛ ᴛʜᴇ ɴᴜᴍʙᴇʀ ʙᴇ 6x ᴀɴᴅ 7x

sᴏ,

➨6x+7x=65

➨13x=65

➨x=5

Vᴇʀɪғɪᴄᴀᴛɪᴏɴ:-

➨ 6×5+7×5

➨ 30+35

➨65

sᴏ ᴛʜᴇ ɴᴜᴍʙᴇʀs ᴀʀᴇ 30 ᴀɴᴅ 35.

ᴀɴᴅ ᴀʟʟ ᴡᴇ ᴀʀᴇ ᴅᴏɴᴇ✔️

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