Question

The sum of two numbers is 7/15. If one of the number is -3/10 find the other

Answer 1

Answer:

23/30

Step-by-step explanation:

Let the other fraction be x.

x + (-3/10) = 7/15

x = 7/15 + 3/10

LCM = 30

x = (14 + 9)/30

x = 23 / 30

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Answer 2

$\huge{\underline{\pink{\tt{Given,}}}}$

• The Sum of Two Numbers is 7/15
• If one of the Number is -3/10

$\huge{\underline{\pink{\tt{To \ Find,}}}}$

• The Other Number

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

$\longrightarrow \sf{Suppose\:the\:Other\:Number\:be\:"x"}$

Now According to the Question :

$\implies \sf{x + y = \dfrac{7}{15}}$

$\implies \sf{x + \dfrac{-3}{10} = \dfrac{7}{15}}$

$\implies \sf{x = \dfrac{7}{15} + \dfrac{3}{10}}$

$\implies \sf{x = \dfrac{14 + 9}{30} }$

$\implies \boxed{\sf{x = \dfrac{23}{30}}}$

Therefore,

$\underline{\boxed{\sf{\red{The \ Other \ Number = x = \dfrac{23}{30}}}}}$

$\rule{200}2$

$\huge{\underline{\mathfrak{\purple{Verification:}}}}$

Given ,

• The Sum of Two Number is 7/15

Therefore,

$\implies \sf{x + y = \dfrac{7}{15}}$

$\implies \sf{\dfrac{23}{30} + \dfrac{-3}{10} = \dfrac{7}{15}}$

$\implies \sf{\dfrac{23 - 9}{30} = \dfrac{7}{15}}$

$\implies \sf{\dfrac{14}{30} = \dfrac{7}{15}}$

$\implies \boxed{\sf{\dfrac{7}{15} = \dfrac{7}{15}}}$

Hence Proved (Answer is Correct)