# Write equations for the following statements:$(i)$ The sum of numbers x and 4 is 9.$(ii)$ 2 subtracted from y is 8.$(iii)$ Ten times a is 70. $(iv)$ The number b divided by 5 gives 6.$(v)$ Three-fourth of t is 15. $(vi)$ Seven times m plus 7 gets you 77.$(vii)$ One-fourth of a number x minus 4 gives 4.$(viii)$ If you take away 6 from 6 times y, you get 60.$(ix)$ If you add 3 to one-third of z, you get 30.

To do:

We have to write equations for the given statements.

Solution:

(i) The sum of numbers $x$ and 4 is 9. This statement can be written in the form of an equation as:

$\boxed{x+4=9}$

(ii) 2 subtracted from $y$ is 8. This statement can be written in the form of an equation as:

$\boxed{y-2=8}$

(iii) Ten times $a$ is 70.

This statement can be written in the form of an equation as:

$\boxed{10a=70}$

(iv) The number $b$ divided by 5 gives 6.

This statement can be written in the form of an equation as:

$\boxed{\frac{b}{5}=6}$

(v) Three-fourth of $t$ is 15.

This statement can be written in the form of an equation as:

$\boxed{\frac{3t}{4}=15}$

(vi) Seven times $m$ plus 7 gets you 77.

This statement can be written in the form of an equation as:

$\boxed{7m+7=77}$

(vii) One-fourth of a number $x$ minus 4 gives 4.

This statement can be written in the form of an equation as:

$\boxed{\frac{x}{4}-4=4}$

(viii) If you take away 6 from 6 times $y$, you get 60.

This statement can be written in the form of an equation as:

$\boxed{6y-6=60}$

(ix) If you add 3 to one-third of $z$, you get 30.

This statement can be written in the form of an equation as:

$\boxed{\frac{z}{3}+3=30}$

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