Question 28

The value of * in the following is: $$3958 - \ast 7 \ast = 3 \ast 8 \ast$$

Solution

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Let the missing digit be $$s$$, so $$\ast 7 \ast = 101s + 70$$ and $$3 \ast 8 \ast = 3080 + 101s$$. Then $$3958 - 101s - 70 = 3080 + 101s$$, which gives $$202s = 808$$ and $$s = 4$$. Check, $$3958 - 474 = 3484$$.

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