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Simple Equations — MATHS STD 7 — Question

Gujarat BoardEnglish MediumSTD 7MATHSSimple Equations5 Marks
Question
Set up an equation as per the given statement given at the end and solve it to find the unknown quantity in the equation.
If I take three-fourths of a number and add $3$ to it, I get $21.$
✓

Answer

We have to frame the equation on the basis of given statement
And then solve the equation so framed.
Let the number be 'a'.
We know that,
Three fourth of a is $\frac{3 a}{4}$
Now, as per the statement,
We can write the equation as,
$\frac{3 a}{4}+3=21$
$\frac{3 a}{4} = 21 – 3$
$\frac{3 a}{4} = 18$
Now,
Multiplying $\frac{3}{4}$ to both the sides, we get
$\frac{3 a}{4} \times \frac{4}{3}=18 \times \frac{4}{3}$
Therefore, $a = 24$

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