answer me the question of d), e), f), in picture given.
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answer me the question of d), e), f), in picture given.
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Answer:
D)
Let Haris age be x
His grandfather's age 10x
also given hari is 63 years younger than his grandfather
therefore the equation is
10x-63=x
10x-x=63
9x=63
x=63/9
x=7
therefore age of
Hari=x= 7 years
His Grandfather= 10x=10×7=70 years
also difference is 63
e) Let the number be x
We have to form an equation from the data
[tex] \frac{1}{4} \times x = 2x - 7 \\ \frac{x}{4} = 2x - 7 \\ \frac{x}{4} + 7 = 2x \\ \frac{x + 28}{4} = 2x \\ x + 28 = 2x \times 4 = 8x [/tex]
Subtracting x from both sides,that is
[tex]28 = 7x \\ x = \frac{28}{7} \\ x = 4[/tex]
therefore the number is 4
Let's check whether it's correct or not
[tex] \frac{1}{4} \times 4 = 2 \times 4 - 7\\ 1 = 8 - 7 \\ 1 = 1[/tex]
L.H.S=R.H.S
hence verified
f)
To find n
if m=5
[tex] \frac{5}{2}mn = 18 + mn \\ \frac{5}{2} \times 5 \times n = 18 + 5 \times n \\ \frac{25n}{2} = 18 + 5n \\ 25n = 2(18 + 5n) \\ 25n = 36 + 10n \\ 25n - 10n = 36 \\ 15n = 36 \\ n = \frac{36}{15} \\ n = \frac{12}{5} [/tex]
Let's check whether it's correct or not
[tex] \frac{5}{2} \times 5 \times \frac{12}{5} = 18 + 5 \times \frac{12}{5} \\ 5 \times 6 = 18 + 12 \\ 30 = 30[/tex]
L.H.S=R.H.S
hence verified
hope it helps